Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
(-4.-8) and (-8, -9)

Answers

Answer 1

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

(-4.-8) (-8, -9)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)[/tex]

[tex]m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}[/tex]

[tex]m=\frac{1}{4}[/tex]

We know that the slope-intercept of line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7


Related Questions

Identify the function shown in this graph.
3
2
OA. y= x+4
OB. y= -xt 4
OC. y= -X- 4
OD. y= x- 4

Answers

Answer:

A

Step-by-step explanation:

y on the horizontal y axis is to the y while x in the vertical axis point to +4

The function shown in the graph is y = x+ 4.

The correct option is A.

What is a slope?

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

To find the equation of the line that passes through the points (-4, 0) and (0, 4), we can use the point-slope form of the equation of a line as described in the definition.

First, let's find the slope of the line. We can use the formula:

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

where (x1, y1) = (-4, 0) and (x2, y2) = (0, 4):

m = (4 - 0) / (0 - (-4)) = 4 / 4 = 1

So the slope of the line is 1.

Next, let's choose one of the given points, say (-4, 0), and substitute its coordinates and the slope into the point-slope form:

y - 0 = 1(x - (-4))

Simplifying this equation, we get:

y = x + 4

So the equation of the line that passes through the points (-4, 0) and (0, 4) is y = x + 4.

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5x-1≥-4(x+7)

solve... please

Answers

Answer: x ≥ - 3

5x - 1 ≥ -4(x + 7)

⇔ 5x - 1 ≥ - 4x -28

⇔ 5x + 4x ≥ - 28 + 1

⇔ 9x ≥ - 27

⇔ x ≥ - 3

Step-by-step explanation:

Answer: x ≥ -3

Hope this helps

how do i do math i suck

Answers

Take lots of notes ask for help etc

Answer:

practice, practice, practice. After you learn how to solve a problem using a formula or something, solve another similar problem in the same way, the more you do it, you will get a better hang of it. I believe in you, you will be the next Einstein one day lol

Step-by-step explanation:

simplify each expression by multiplying monomials: -7c^8 * (-4c^3)^2

Answers

Answer:

-112[tex]c^{14}[/tex]

Step-by-step explanation:

-7[tex]c^{8}[/tex] [tex](-4c^{3}) ^{2}[/tex] in expanded form this would be

-7cccccccc-4ccc-4ccc rearranged with like factors together

-7-4-4cccccccccccccc

For the numbers, count the negative signs.  It the sum is an even number than the product is positive.  If the sum is a negative number, then the product is negative.  There are a total of 3 negative signs.  This is a odd number so the product is negative

-112[tex]c^{14}[/tex]   There are a total of 14 c's

Or

You could use the power rules.

When a power is raised to a power.  The exponent goes to every factor in the parentheses.

[tex](-4)^{2}[/tex] [tex](c^{3}) ^{2}[/tex]  -4 times -4 is 16 The power of power property tells us that when a power is raised to a power we multiply the exponents so we now have

16[tex]c^{6}[/tex]  When we multiple this by -7[tex]c^{8}[/tex]  We multiply 16 x -7 which is -112.  The product of powers principle tells us that when we multiply powers with the same bases, we add the exponents.

-112[tex]c^{14}[/tex]

Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?

Answers

10 / p
(10 divided by p)
10 divided by p!!!!!!!!!!!

The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping paper sold. Tell if the equation or inequality represents a number that would beat the school record.

Answers

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593    No

Number of wrapping paper sold never be more than 593.

w > 593    no

Number of wrapping paper sold never be more than 593.

w ≤ 593  yes

Number of wrapping paper sold will be equal or less than 593.

A teacher asked students to classify numbers A and B below
A: 0.28316049...
B:28
Which statement describes the correct classification(s) of the numbers?
Both numbers are real numbers
Both numbers are rational, irrational, and real numbers
Number A is an irrational number, and number B is a rational number
O Number A is irrational, and number B is rational

Answers

Answer:

a or b I think it's correct

Step-by-step explanation:

hahahahahaha

BRAINLIEST HELP

When Alice returns from America, she has $90 left. If she changes this back to pounds

how many pounds will she get?

Give your answer to 2 decimal places.


Exchange rate= 1 GBP= 1.5 USD

Answers

Answer:

£60

Please vote for Brainliest and I hope this helps!

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Four-fifths blank line StartFraction 16 Over 20 EndFraction

Four-fifths

A model has 4 shaded parts and 1 unshaded part.
StartFraction 16 Over 20 EndFraction
A model has 16 shaded parts and 4 unshaded parts.
1. is greater than
2. cannot be compared to
3. is less than
4. is equal to

Answers

Answer:

it is equal to it

Step-by-step explanation:

4 times four is sixteen four times five means that it if four fifths

Answer:

4

Step-by-step explanation:

Did it on edgeunity! Gl

this is geometry witch theorem or postulate proves these two triangles are similar

Answers

B. AA

this is because we know 2 angles in the triangle are the same so that proves Angle Angle similarity

also it’s a really easy question when you realize only one of the options (AA) proves similarity of triangles and all the other options prove congruence, not similarity

Which of the following expressions represents the distance from -11 to 0 on a number line?

|-11|
0 - 11
11 × 0
11 - 11

Answers

Answer:

I-11I

Step-by-step explanation:

To find the distance between two numbers, find the absolute value of each number and add them together.

I-11I = 11

I0I = 0

11 + 0 = 11

Answer:

Hope this helps!

Step-by-step explanation:

The answer is 11. To find the distance between two numbers, find the absolute value of each number and add them together.

Select the correct answer. Which function has a domain of all real numbers? A.y=(x+2)^ 1/4 B.y=-x^ 1/2+5 C.y=-2(3x)^1/6 D.y=(2x)^1/3-7

Answers

The option D shows a function has a domain of all real numbers.

Which is the Domain of a Function?

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

Letter A - [tex]y=\left(x+2\right)^{^{\frac{1}{4}}\:}[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,

     [tex]\left(x+2\right)^{^{\frac{1}{4}}\:}=\sqrt[4]{x+2}[/tex]

      Therefore, the function domain is x  [tex]\geq[/tex]-2.

Letter B - [tex]y=-x^{\frac{1}{2}}^{\:}+5[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,

        [tex]-x^{\frac{1}{2}}^{\:}+5=-\sqrt{x} +5[/tex]

        x  [tex]\geq[/tex] 0

      Therefore, the function domain is x  [tex]\geq[/tex] 0.

Letter C - [tex]y=-2\left(3x\right)^{\frac{1}{6}}[/tex], as you have an even exponent, the results for y should be greater or equal than zero. Thus,

        [tex]-2\left(3x\right)^{\frac{1}{6}}=-2*\sqrt[6]{3x}[/tex]

          3x  [tex]\geq[/tex] 0

         x  [tex]\geq[/tex] 0

      Therefore, the function domain is x  [tex]\geq[/tex] 0.

Letter D - [tex]y=\left(2x\right)^{\frac{1}{3}}-7[/tex], as you have an odd exponent, the results for y has no undefined points nor domain constraints. Thus,

        [tex]\left(2x\right)^{\frac{1}{3}}-7=y=\sqrt[3]{2x} -7\\ \\[/tex]

         

      Therefore, the function domain is [tex]-\infty \: < x < \infty \:[/tex].

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Is the ordered pair (2,4) a solution to the system of linear inequalities?

yes or no? ​

Answers

Answer:

yes

Step-by-step explanation:

Brainliest +thanks
1/3z-2=0 write in statement​

Answers

Answer:

1 is divided by 3z with difference 2

An online survey listed the top five types of music. The results of the survey are shown in the graph. Based on this survey, how many people would be expected to choose Pop if 250 people were surveyed?

Answers

I’ll answer one sec

But first do you mind subscribing to some small yters, BonheurPlaysGames, Sagesse Games, And YayaPlayz23? (I’m a fan who tries to help small yters btw)

When one thing is ten times as large as another, it is said to be an order of magnitude larger. A hundred times larger is two orders of magnitude. A thousand is three orders of magnitude. By how many orders of magnitude is the empire state building taller than a chair seat? enter an integer.

Answers

The empire state building is taller than a chair seat by three orders of magnitude.

What are orders of magnitude?

Orders of magnitude refer to the classification based on the sizes of two objects against each other.

Orders of magnitude range in the power of 10 or 10ⁿ.

Data and Calculations:

Orders of Magnitude:

10x = 1 order of magnitude

100x = 2nd order of magnitude

1000x = 3rd order of magnitude

Empire State Building = 1,500 feet

Chair seat = 1.5 feet

Order of magnitude = 1,000x (1,500/1.5)

Thus, the Empire State Building is about a thousand times taller than a chair seat or three orders of magnitude.

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Present age of Ram and Ravi are in the ratio
4:3.The ratio of their ages will be 5:4 after
5 years. Find Ravi's present age​

Answers

Answer:

Step-by-step explanation:

Ravi présent âge 15 because présent would be 20:15 and then it would turn into 25:20

Answer:

15 years old

Step-by-step explanation:

Given the ratio of their ages = 4 : 3 = 4x : 3x ( x is a multiplier )

Then in 5 years the ratio of their ages is 4x + 5 : 3x + 5 = 5 : 4, that is

[tex]\frac{4x+5}{3x+5}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(4x + 5) = 5(3x + 5) ← distribute both sides

16x + 20 = 15x + 25 ( subtract 15x from both sides )

x + 20 = 25 ( subtract 20 from both sides )

x = 5

Thus

Ravi's age is 3x = 3 × 5 = 15

which of the following lines is parallel to x = 8?
3y=16
x = 7
x =y
y = 8

Answers

Answer:

The only line there that is parallel to x = 8 is x = 7.

the answer is x = 7 :)

help me under stand this please

Answers

Step-by-step explanation:

-and -are + and + and - are -

u can do it



What percentage of take-home pay is spent on housing, property tax, and insurance? (round to the nearest whole percent)
31%
45%
47%
57%​

Answers

Take Home Pay = 5388

Housing, Property Tax and Insurance= 1665

(1665 / 5388) X 100 = 30.9 % (31%).

The answer is 31%

Answer:

31%

Step-by-step explanation:Ive got no idea why, I just know the answer lol.

Sanic ran 420 meters in 21 seconds what was his speed?


Yes this is a real question please help

Answers

Answer:

the speed is 20 m/s

Step-by-step explanation:

The computation of the speed is as follows

As we know that

Speed = Distance ÷ time

where,

Distance is 420 meters

And, the time is 21 seconds

So, the speed is

= 420 ÷ 21

= 20 m/s

hence, the speed is 20 m/s

We simply applied the above formula so that the correct value could come

And, the same is to be considered

1 and 2 pls I will give brainiest if right

Answers

Answer:

1.b

2.d

Step-by-step explanation:

i think

C and A please trust me

Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money. If the cost of the dog is $300, who will be able to buy it first?

a. 8hrs to have the same amount of money
b.18 hours to have the same amount of money
c. Brittany will be able to buy the dog first
d. Steven will be able to buy the dog first

Answers

Answer:

d

Step-by-step explanation:

18 always still have the same amount of money

Determine whether each number is
rational or irrational.

mlla
3
50
0.4
Rational Irrational
O
O
O
O

Answers


π is 3.14 so -π is -3.14 so it is irrational

3 is a whole number so its no irrational

50 is also not irrational

0.4 is irrational

irrational numbers are imperfect roots so basically a decimal is irrational

hope this helped

CAN SOMEONE PLEASE HELP ME WITH THIS PLEASE PLEASE PLEASEE HELP I DONT WANT TO FAIL !!!!!!

Answers

Answer:

The equation for 3 cups equals 24 cookies is = 24 divided by 3 or 3 times 8, so that makes your awnser 12 times 3= 36 times 8 equals 288, so 288 cookies.

Step-by-step explanation:

Dozen-12

Answer:

you going to need 4 1/2 or 4.5 cups of sugar

Find the value of a in the polygon below. ​

Answers

Answer:.

m= 116 degrees

a=41 degrees

Step-by-step explanation:

Explaination: add 89+50+64 = 203

the line that m is on should equal 180. so subtract 64 from 180 and you get 116 degrees. then add 89+50+64+116=319

360-319= 41

the whole polygon should equal 360 degrees

What is the equation of this line?
y= 4x
y= 1/4x
y = -4x
y=-1/4x​

Answers

Y=4/1x
Hope this helps


Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down

Answers

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

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Mika opened a bank account that earns simple interest with an initial deposit of $2,200.
She made no other transactions throughout the year. At the end of the year, Mika had $2,260.50 in her account.
What was the simple interest rate?

Answers

Answer:2.75

Step-by-step explanation:

One winter day, the outside temperature, y, never dropped below −1°. The inside of a car was always warmer than the temperature outside by at least 4°. Which graph of a system of inequalities represents this scenario?

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything below and to the right of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything above and to the left of the line is shaded.

Answers

The graph of a system of inequalities that represents this scenario will be A. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.

What is a inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.

On one day, x, the outside temperature never fell below 1°. A automobile was always at least 4 degrees warmer inside than it was outdoors.

y -1 is the inequality for the first line.

Y > x + 4 is the inequality that represents the second line.

The darkened area is therefore above the first line, which is a solid horizontal line.

The shaded area lies above and to the left of the second line, which has a broken line and a positive slope.

Therefore, the correct option is A.

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