Slope intercept form (-6,19) and (3,-2)

Answers

Answer 1

Answer:

-7/3 or -2.3

Step-by-step explanation:

1. y2-y1 divided by x2-x1 which would be y2-y1/x2-x1

2. plug in : -2-19/3-(-6)

4. Solution ( -7.3 or -2.3 )

Answer 2

Answer:

[tex]y = -\dfrac{7}{3}x +5[/tex]

Step-by-step explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run

[tex]m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}[/tex]

where (x₁, y₁) and (x₂, y₂) are any two points on the line

For the line passing through (-6, 19) and (3, -2) , the slope

[tex]m = \dfrac{-2 - 19}{3 - (-6)}\\\\[/tex]

[tex]\\\\m= \dfrac{-21}{9}[/tex]

[tex]m = -\dfrac{7}{3}[/tex]

So slope-intercept form is
[tex]y = -\dfrac{7}{3}x +b\\\\[/tex]

To compute y-intercept, b,  plug in any of the two points into the above equation and solve for b

Let's choose point (3, -2)

Plugging x = 3 and y = -2 gives

[tex]-2 = -\dfrac{7}{3}\cdot 3 +b\\\\\\\\-2 = -7 + b\\\\[/tex]

So equation of line is
[tex]y = -\dfrac{7}{3}x +5[/tex]


Related Questions

3. Jada followed these rules to write a 5-digit number.

O in the tens place

2 in the hundreds place

5 in the thousands place
6 in the ten thousands place
. 9 in the ones place
What number did she write? Enter your answer in the box.
05

Answers

Answer:

65,209

Step-by-step explanation:

I got it write

Answer:

65209

the answer is 65209

Collect like terms: a) a³, a², 2ab, 2a², a, -a²​

Answers

Answer:

-a²,a, a²,2a²,a³,2ab

Step-by-step explanation:

-------

Box and Whisker Word Problems
1) A city hospital tracked how many patients visited its ER over 9 days.
Using the data below, write out the five number summary and make a box and whisker p
4, 16, 24, 21, 7, 22, 8, 9, 14
Minimum:
Q₁:
Maximum:

Answers

Answer:

A city hospital tracked how many patients visited its ER over 9 days.

Using the data below, write out the five number summary and make a box and whisker plot.

4, 16, 24, 21, 7, 22, 8, 9, 14

Minimum: ________4______ Maximum: ______24________

Q1 is 8.5

: _______14___ Q2

: ______23____ Q3

: __________

Step-by-step explanation:

NEED HELP PLEASE!! INEQUALITY!!

Answers

Answer:

x < - 5

Step-by-step explanation:

4x + 1 < 3x - 4 ( subtract 3x from both sides )

x + 1 < - 4 ( subtract 1 from both sides )

x < - 5

the graph is the number line with an open circle at - 5 and arrow pointing to the left.

Answer: x<-5

Step-by-step explanation: i did it on OW

The value of a stock decreases by an average of 12 dollars each week. Which of the following represents the total average decrease in the stock after 4 weeks?
|−12| − 4 = 8 dollars
4|−12| = 48 dollars
|−12| − |4| = 8 dollars
−4|12| = 48 dollars

Answers

Answer:

4|−12| = 48 dollars.

Step-by-step explanation:

The question asks for the total decrease after 4 weeks. Since there is no such thing as negative weeks, A and C are disqualified. Since D is simply wrong math (-4x12=-48), it is also wrong.

In a school of 480 students, 60% ride the bus to school. How many students ride the bus?

Answers

Answer:288 step-by-step explanation: here’s a formula:n(p divided by 100= a n=number p=percentage a=answer so in this case it’s 480(60 divided by 100) which is 288 and if you have a calculator just do 480x60%

Each gallon of gasoline costs $2.35. The
equation y = 2.35x can be used to represent this
situation. What is the constant of
What does the constant of
proportionality?
proportionality represent in the context of the
problem?

Answers

The proportionality constant for the above equation y = 2.35x is 2.35.

What is the equation?

An equation can be defined in several ways. Algebraically speaking, an equation is a statement that shows the equivalence of two mathematical expressions.

A linear equation could have more than one variable. If a variable's maximum power constantly equals one, an equation is considered to be linear.

Let us x ∝ y.

Following that, x = ky, where k is a constant or proportional.

When two variables that were in proportion are split, it will result in a constant proportional because k = x/y.

The constant of proportionality for the above equation y = 2.35x will be y/x = 2.35.

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20+2x=x+56 solve for x No words

Answers

Answer:

36

Step-by-step explanation:

Fine I wont

Answer:

x=36

Step-by-step explanation:

20+2x=x+56

-20         -20

2x=x+36

-x  -x

x=36

20+2(36)=(36)+56

20+72=36+56

92=92

Hope this helps.

The measure of Angle b is 45 degrees and the measure of angle c is 23 degrees. What is the measure of angle f?

Answers

Answer:

I think its 93

Help me please I'll give brainliest to the most helpful answer or the answer that makes the most sense.

Answers

Answer:

x = 120°

Step-by-step explanation:

Since s and t are parallel and are on a supplementary line, that means that the interior angle and the exterior angle (60°) will equal 180° (supplementary)

So to find the angle of x, you have to minus 60 from 180, and you get x, which is 120°

I hope this helps! :)

Find the other endpoint for the midsegment of the given trapezoid.

Answers

Applying the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).

What is a Midsegment of a Trapezoid?

The midsegment of a trapezoid is the line segment that intersects the two legs of the trapezoid at their midpoints.

Hence, to find the endpoint for the midsegment of the other leg of the trapezoid, apply the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2].

Find the midpoint between A(-2, -5) and B(-3, -2):

A(-2, -5) = (x1, y1)

B(-3, -2) = (x2, y2)

Plug in the values

M[(-3 + (-2))/2, (-2 + (-5))/2]

M(-5/2, -7/2)

Therefore, using the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).

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Answer:

-2.5,-3.5

Step-by-step explanation:

Which number equals (2³) ²?

Answers

The answer is 6 thanks for giving me this opportunity to help you out

Answer:

64

Step-by-step explanation:

first compute the bracket 2 cubed which is 8

then square the contents of the bracket which results in 64

PLEASSE HELP IVE BEEN STUCK FOR SO LONG HOW DO I DO THESE?

Answers

The frequency of the red light is 4.6 × 10⁵ Hz

Calculating frequency

From the question, we are to determine the frequency of the red light with the given wavelength

From the given information,

Wavelength = 650 nm

c = 3.0 × 10⁸ m/s

From the formula,

c = fλ

∴ f = c/λ

Where c is the speed of light

f is the frequency

λ is the wavelength

Thus,

f = 3.0 × 10⁸/650

f = 4.6 × 10⁵ Hz

Hence, the frequency of the red light is 4.6 × 10⁵ Hz

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HELP ME PLEASEEE TY Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)

( ) point

Answers

The rational number that can be used to represent the number of points needed for Abraham to get an A will be 1.5.

What is a rational number?

It should be noted that a rational number is the number that can be written as a fraction. It can be while numbers and decimals have well.

Therefore, since Abraham needs one-half of a point to get an A– in Math, the rational number that can be used to represent the number of points needed for Abraham to get an A willbe 1.5.

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How many ways can you make a 3 letter arrangements out of the letters in the word trapezoid

Answers

Answer:

504 ways fr

Step-by-step explanation:

What is the slope-intercept equation of a line that goes through
(8,5) and (7,4)?
Write the equation in standard form of a line that goes through
(-15,2)is perpendicular to a line has a slope of-5.
What is the point slope equation of a line that goes through
(-2,-7) and is parallel to y=14x-3?
If y and x vary directly and y=1.4when x=3.2, what is x when y=2.6? Round to two decimal places.

Answers

1. The slope-intercept equation of the line is: y = x - 3.

2. The equation of the line in standard form is: -1/5x + y = 5

3. The equation in point-slope form is: y + 7 = 14(x + 2)

4. The value of x ≈ 5.94

How to Find the Slope?

Slope (m) = y2 - y1/x2 - x1.

There are three ways too write the equation of a line, they include:

As slope-intercept form, y = mx + bAs point-slope form, y - b = m(x - a)As standard form, Ax + By = C.

1. find the slope (m) of the line that passes through (8, 5) and (7, 4):

Slope (m) = (5 - 4)/(8 - 7)

Slope (m) = 1/1

Slope (m) = 1

Substitute m = 1 and (a, b) = (8, 5) into y - b = m(x - a):

y - 5 = 1(x - 8)

y - 5 = x - 8

y = x - 8 + 5

y = x - 3

The slope-intercept equation is: y = x - 3.

2. The slope of perpendicular lines are negative reciprocals, therefore, the slope of the line perpendicular to the line that has a slope of -5 would be, m = 1/5.

Substitute m = 1/5 and (a, b) = (-15, 2) into y - b = m(x - a):

y - 2 = 1/5(x - (-15))

y - 2 = 1/5(x + 15)

y - 2 = 1/5x + 3

y = 1/5x + 3 + 2

y = 1/5x + 5

-1/5x + y = 5 [standard form]

3. Parallel lines have the same slope. The slope of y = 14x - 3 is 14. The line that is parallel to y = 14x -3 would also be, m = 14.

Substitute m = 14 and (a, b) = (-2, -7) into y - b = m(x - a):

y - (-7) = 14(x - (-2))

y + 7 = 14(x + 2) [point-slope equation]

4. y = kx

1.4 = k3.2

1.4/3.2 = k

The equation would be: y = 1.4/3.2x

Substitute y = 2.6 to find x:

2.6 = 1.4/3.2x

(2.6)(3.2) = 1.4x

8.32 = 1.4x

8.32/1.4 = x

5.94 ≈ x

x ≈ 5.94

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the table shows a proportional relationships between x and y complete the table

Answers

The table in question shows a proportional relationship between x and y, this shows that there is an independent and a dependent variable and their value compliments each other

This is further explained below.

What is the proportional relationship?

Generally, The table in question demonstrates that there is a proportionate connection between x and y.

This indicates that there is both an independent and a dependent variable and that the values of both variables complement one another.

In conclusion, Relationships between two variables that are proportional occur when their ratios are equal.

Another way to consider them is that in a proportionate connection, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

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What is -1/5 + 7/10 i keep getting 9/10 but on my hw paper the answer doesn’t match

Answers

Answer:

1/2

Step-by-step explanation:

1. LCD = 10

2. [tex]-\frac{1}{5} * \frac{2}{2} + \frac{7}{10}[/tex]

3.[tex]-\frac{2}{10} + \frac{7}{10}[/tex]

4. [tex]-\frac{2+7}{10}[/tex]

5. 5/10

6. Simplify : 1/2

Hope this helps!
--Blu

Potenciación hay dice lo que hay que hacer ayuda

Answers

Using laws of indices, we can easily find the values of expressions below.

Laws of Indices

To solve this given problem, we have to apply different laws of indices.

12.

[tex](x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}[/tex]

13.

[tex](a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}[/tex]

14.

[tex]\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}[/tex]

15.

[tex]\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}[/tex]

16.

[tex]\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}[/tex]

17.

[tex]\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}[/tex]

From the above calculation, we can solve the respective given expression using indices.

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Expand each logarithm. log₃ √9x

Answers

According to the question, the logarithmic function can be simplified with the help of the concept of indices as well as logarithmic laws.

Expression = [tex]log_{3} \sqrt[n]{9x}[/tex]

Using logarithmic laws, it can be written as:

Expression = [tex]log_{3} \sqrt[n]{9x}= log_{3} 3\sqrt[n]{x}=log_{3}3 +log_{3}x^{1/2}[/tex]

                       [tex]1+\frac{1}{2}log_{3}x[/tex]

Therefore, the final answer of the given logarithmic function is:[tex]1+\frac{1}{2}log_{3}x[/tex]

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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Simplify. Rationalize all denominators. √x / √6 y³

Answers

The simplification of √x / √6 y³ after rationalizing all denominators is

[tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex]/ 6

Given; [tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex] , we are to simplify and also rationalize the denominators

[tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex]  *  [tex]\frac{{\sqrt{6} y^{3} }}{{\sqrt{6} y^{3} }}[/tex]

= [tex]{\sqrt{6} y^{3} }[/tex] * [tex]\sqrt{x}[/tex] / [tex]{\sqrt{6} y^{3} }[/tex]*  [tex]{\sqrt{6} y^{3} }[/tex]

=[tex]\sqrt{6x}[/tex] * [tex]y^{3}[/tex] / [tex]\sqrt{36}[/tex]* [tex]y^{6}[/tex]

= [tex]\sqrt{6x}[/tex] *  [tex]y^{3}[/tex] / 6 * [tex]y^{6}[/tex]

=[tex]\sqrt{6x}[/tex] * [tex]y^{3-6}[/tex]  / 6

= [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6

The final answer to this question, is, [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6

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6
Susan is using 0.5 acres of land for organic farming.
If she divides the land into 6 equal-sized plots for the
6 vegetables she is planting, what will be the size of
each plot? (1 acre = 43,560 square feet)
A) 3,630 square feet
B) 6,700 square feet
C)
7,260 square feet
D) 14,520 square feet

Answers

The size of each plot is 3630 square feet to plant six vegetables.

Given, Susan is using 0.5 acres of land.

we know that 1 acre = 43,560 square feet

0.5 acre = 1/2 acre = 1/2 × 43,560

= 21780 square feet.

we need to divide the land into 6 equal sized plots.

divide 21780 into six equal parts.

= 21780/6

= 3630 square feet

the land is being divided into 3630 square feet to plant 6 equal sized plots.

Hence susan plants six vegetables in 3630 square feet each.

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Write each expression as a single logarithm.
log₇x+log₇y-log₇z

Answers

Answer:

log₇(xy/z)

Step-by-step explanation:

We know that

[tex]\log_ax = b \implies a^b = x[/tex]

we also know that:

[tex]a^b \cdot a^c = a^{b + c}[/tex]

so it follows that

[tex]\log_ax + log_ay = log_a(xy)[/tex]

from:

[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]

follows that

[tex]\log_ax - log_ay = log_a(\frac{x}{y})[/tex]

so

[tex]\log_7x + \log_7y - \log_7z = \log_7(xy) - \log_7z = \log_7(\frac{xy}{z})[/tex]

use the distributive property to rewrite this expression:

8(q+4)

Answers

Answer:

8q + 32 that is the answer to the problem using the distributive property

Set up an equation and solve for x.

Answers

Based on the alternate exterior angles theorem, the equation is: 15x - 3 = 14x + 2

The value of x = 5.

What is the Alternate Exterior Angles Theorem?

The angles, (15x - 3) and (14x + 2) are alternate exterior angles. Based on the alternate exterior angles theorem/postulate, they are congruent to each other.

Thus, the equation to create in solving for the value of x would be:

15x - 3 = 14x + 2

Subtract 14x from both sides of the equation

15x - 3 - 14x = 14x + 2 - 14x [subtraction property of equality]

x - 3 = 2

Add 3 to both sides

x - 3 + 3 = 2 + 3 [addition property of equality]

x = 5

In summary, based on the alternate exterior angles theorem, the equation is: 15x - 3 = 14x + 2

The value of x = 5.

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The name of the figure below is ___ ___
(Name the type of figure and its letter name: for example: ray AB)

Answers

Answer:

Segment VU (or u can say UV)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

Solve for tt and simplify your answer.
-\frac{5}{4}t=

4
5

t=
\,\,9
9

Answers

Answer:

81?

Step-by-step explanation:

-

frac

5

4

t

= -4 ×

5

×

xt =

frac

(5

4

t)=-4

x 5 x x t

→ -

9×9

=

81

The same honey is sold in two different size jars.
Large Jar 540g for £4.10
Small Jar 360g for £2.81
By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.

Answers

From unitary method calculations, we have found that the large jar is the best value for money because a penny buys more honey.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to determine which has the best value for money using the quantity a pound can purchase.  

So, first for the large jar.

£4.10 will be purchase 540g of honey then,

£1.00 will be purchase xg

Then cross multiplying for x will be;

x = 1.00 (540g )/4.10

x = 131.7g

 

Hence for the large jar a penny will buy 131.7g of honey.

Now second for the small jar

£2.81 will be purchase 360g of honey then,

£1.00 will purchase xg

Now cross multiplying

x = 1.00 (360g )/ 2.81

x = 128.1g  

Hence for the small jar a penny will buy 128.1g of honey.

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Find the area of the rectangle with the given base and height
5 ft, 2 inch

Answers

The area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.

How to Determine the Area of a rectangle?

The area of a rectangle is the product of the length of its base and its height.

Area of rectangle = (base)(height)

Given the parameters:

Length of the base of the rectangle = 5 ft

[Note: 1 ft = 12 inches]

Convert 5 feet to inches

5 feet = (5)(12) = 60 inches

Height of the rectangle = 2 inches

Substitute

Area of the rectangle = (60)(2)

Area of the rectangle = 120 square inches

In conclusion, the area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.

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There are 45% blue cars, 30% red cars, and 25% green and black cars. How many red car are there and how many blue cars are there?

Answers

There are 75% of red cars and blue cars if you add them together.

Hope this helps, please give me brainliest if I'm correct. ;)

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