Write an equation of the line that passes through the points ( 4, 2), (0, -6) *

Answers

Answer 1

9514 1404 393

Answer:

  y = 2x -6

Step-by-step explanation:

One form you can use for this purpose is ...

  (x2 -x1)(y -y1) = (y2 -y1)(x -x1)

Filling in the given point values, this is ...

  (0 -4)(y -2) = (-6 -2)(x -4)

  -4y +8 = -8x +32

Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.

  y -2 = 2x -8

This can be rearranged to any form you may like--or left as is.

  y = 2x -6 . . . . . slope-intercept form


Related Questions

Please help!!
Write the equation of the line passing through (2,3) and perpendicular to y = 2/3 x + 7.

Answers

Answer:

y = 2/3x

Step-by-step explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

3 = 3 + b

subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

y = 2/3x

URGENT SOMEONE HELP PLEASE!!

Answers

a = 2b + 6 — (1) [given]
a = 9b - 8 — (2) [given]

a = a
sub. in the eqns (1) and (2)
2b + 6 = 9b - 8

collect like terms :
6 + 8 = 9b - 2b
14 = 7b
b = 2

The sum of ten consecutive whole even numbers is 1190

Answers

Answer:In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616, we can rewrite them asn=2k→10=2(5)

n = 2k\, \to \,\,16 = 2\left( 8 \right)\,n=2k→16=2(8)

Step-by-step explanation:

Consecutive Even Integers

The best way to illustrate what consecutive even integers are through the use of examples. Observe that any pair of two consecutive even integers are 22 units apart. In other words, if you pick any even integer in the set of consecutive even integers then subtract it by the previous one, you will always get the difference of \bold{+2}+2 or simply \bold{2}2, written without the \bold{+}+ symbol.

Scientists have found that the relationship between the area of an island and the number of species can be modeled approximately by S=-3.404+103.2ln(A) S=−3.404+103.2ln(A), where AA is the area in km^2km 2 and SS is the number of species.

Answers

Answer:

[tex]A=e^{(S+3.404/103.2)[/tex]

Step-by-step explanation:

Step one:

we are told that the relationship between the number of species and the island area is given as

[tex]S=-3.404+103.2ln(A)[/tex]-----------------1

based on any given value for either area or number of species, we can find the other.

say we want to find the land area for a given amount of specie

Step two:

we first make area A subject of the formula.

[tex]S=-3.404+103.2ln(A)[/tex]

let us isolate   [tex]ln(A)[/tex]

[tex]S + 3.404 = 103.2ln(A)[/tex]

Divide both sides by 103.2 we have

[tex](S + 3.404)/103.2 = ln(A)[/tex]

Now, exponentiate both sides using the base e.

[tex]A=e^{(S+3.404/103.2)[/tex]----------------2

for a given value of "S" we can find the area   A based on the above expression.

In this polygon, which angle is an interior angle?
pls answer 20 points
A. c°
B. a°
C. b°
D. d°

Answers

Answer:

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

I took the quiz and got it correct

Graph the linear equation

Answers

Answer:

I added a screenshot. ;)

Step-by-step explanation:

descending order 20,-30,4,0,-3,10​

Answers

20,10,4,0,-3,-30 is the answer in descending order

Answer:

20,10,4,0,-3,-30

Step-by-step explanation:

World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages. A restaurant uses 36 pounds of this coffee each month. How many cases must be ordered per month?

Answers

Answer:

The number of cases to be purchased is 2.

Step-by-step explanation:

Giving the following information:

World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages.

First, we need to calculate how many pounds are in each case.

1 pound = 16 ounces

1 case= (48*6)/16

1 case= 18 pounds

Now, the number of cases required each month:

36 pounds = 18*x

x= number of cases

x= 36/18

x= 2

The number of cases to be purchased is 2.

Will give brainliest if correct.

Answers

Answer:

y = -5x - 10

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Now, in your case:

5x + y = -10

Move 5x (don't forget to change the signs!):

y = -5x - 10

Hope this helps!

question in the picture

Answers

Answer:

a

Step-by-step explanation:

1/4 = 0.25

Answer: 1/4 < 0.45

Step-by-step explanati

what's the slope of (-2,-7),(4,-10)

Answers

Answer:

answer is -1/2 .i think it will be helpful for you

Find the center and radius of the circle with the equation:

Answers

Answer:

where is the equation? And I will help.

Step-by-step explanation:

Answer:

i cant answer if there is no problome

Step-by-step explanation:

4. Rudy is training for a race. On Monday he ran
2 km. On Tuesday he ran 15% farther than on
Monday. If he increases his running distance
by the same percentage each day, on which day
will he first run more than 4 km?
A. Wednesday
B. Thursday
C. Friday
D. Saturday

Answers

Answer:

C

Step-by-step explanation:

You add .3 km to the first day (tuesday)

then .6 then next day (wedneday)

next you add .9 on the next day (thursday)

finally you add 1.2 km on Friday

2.3+0.6+0.9+1.2=4 km

The equation y = 13x represents the rate, in gallons per minute, that Tank A at an aquarium fills with water. The table represents the rate that Tank B fills with water. Determine which tank fills faster.

Answers

Answer:

Tank A fills up faster.

Step-by-step explanation:

Tank A is y = 13x

Tank B is y = 11x

Plz mark as Brainliest!

simplify the expression -9x-8+4x+7

Answers

Answer: 5x - (-1)

Step-by-step explanation:

Answer:

-5x-1

Step-by-step explanation:

First combine like terms

-9x-8+4x+7 combine -9 and 4

-5x-8+7 then combine -8 and 7

-5x-1

A dressmaker needs to cut 6-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 6-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?

Answers

Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!


Which is equivalent to
^3*square root* 8^1/4x ?
pls hurry it’s a timed test

Answers

Answer:

[tex]12\sqrt{8} ^{x}[/tex]

Step-by-step explanation:

Rewrite the function by completing the square
f(x)=x^2-14x+63

Answers

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate:                              f(x) = (x² - 14x) + 63Complete the Square:         f(x) = (x² - 14x + 49) + 63 - 49Simplify:                                f(x) = (x - 7)² - 14

Answer:

-7 and 14 on khan

Mya creates the
table below to
show how much
fruit to put in her
shake. How much
fruit should she
use if she is
making 5 servings?

Answers

mya should put 3/5 in each serving.

Segment AB is the diameter of circle M. The coordinates of A are (1,6). The coordinates of M are (-3, 8). What are the coordinates of B
1) (-7,10)
2) (5,4)
3) (-1,7)
4) (-2,1)

Answers

Step-by-step explanation:

Let the midpoint formula be expressed as;

M(X,Y) = {x2+x1/2, y2+y1/2}

X = x2+x1/2

Y = y2+y1/2

Get x2

-3 = x2 + 1/2

-6 = x2 + 1

x2 = -6-1

x2 = -7

Get y2;

Y = y2+y1/2

8 = y2+6/2

16 = y2+6

Y2 = 16-6

y2 = 10

hence the coordinate of B is (-7, 10). Option A is correct

HELP ASAP PLS BRAINLIEST

Answers

Answer:

for the 10 column it is $150.00 the next column is 15 and for 200 it is $250.00

Step-by-step explanation:

Rachael earned $42 for 3 1/2 hours at her job today. How much does Rachel earn per hour ?

Answers

Answer:

$12

Step-by-step explanation:

It is given that,

Rachael earned $42 for [tex]3\dfrac{1}{2}[/tex]  hours at her job today. It means,

For 7/2 hours, earning is $42

For 1 hour, we divide $42 by 7/2 as follows :

[tex]1\ h=\dfrac{42}{\dfrac{7}{2}}\\\\=\dfrac{42\times 2}{7}\\\\=\$12[/tex]

So, he will earn $12 per hour.

Michael got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Michael wants to buy?

Answers

Answer:

$9.99 + $1.29n ≤ $50

Step-by-step explanation:

Given that:

Worth of gift card = $50

Cost of album purchased = $9.99

Cost per song to purchase = $1.29

Number of songs to purchase = n

Inequality to model the situation :

Cost of album + cost per song * (Number of songs) ≤ worth of gift card

$9.99 + ($1.29 * n) ≤ $50

$9.99 + $1.29n ≤ $50

i need this asap, will give brainliest to fast answers!! :)

Answers

total savings = $0.75 x 30
= $22.50
= $23 (nearest dollar)

Answer: $22.50, but rounded to the nearest dollar its $23.00 Hope this helps :)

Step-by-step explanation: The unit rate it 1/0.75

Which two lines appear as if they will never intersect? Select all that apply.
a
b
c
d
e
f

Answers

C, and D. They’re parallel so they’re never going to cross.
C-D must be if not OOF but that’s what I got right

Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15
What does x =

Answers

Answer:x=9

Step-by-step explanation:

-2x+3=-15

Subtract 3 on both sides:

-2x+3-3=-15-3

-2x=-18

Divide -2 on both sides:

-2x/-2=-18/-2

x=9

If the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.

What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the equation as follows -

- 2x + 3 = - 15

The given equation is -

- 2x + 3 = - 15

Solving, we get -

- 2x = - 15 - 3

- 2x = - 18

 2x = 18

 x = 9

Therefore, if the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2


Find the new price after the discount given. Round to the nearest cent if necessary.
$34.589 discounted 8%

Answers

Answer:

$31.82

Step-by-step explanation:

The ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 . The store has 90 BMX bikes . How many mountain bikes does the store have ?

Answers

Answer: 60

Step-by-step explanation:

From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .

To calculate the number of mountain bikes that the store has goes thus:

= 2/3 × 90

= 2 × 30

= 60 mountain bikes

A circle has a diameter of 50 cm. Which of these is closest to it's circumference.

A) 157 cm

B) 314 cm

C) 7,850 cm

D) 1,963 cm​

Answers

Answer:

i know the circumference is 1.57 so it is A)

Step-by-step explanation:

PLEASE HELP ME WITH THIS!!!

calculate the combined surface area of the following three dimensional objects​

Answers

Answer:

455.53cm^2

Step-by-step explanation:

diameter of hemisphere = 10cm

radius of hemisphere = 10/2 cm = 5cm

height of hemisphere = radius of hemisphere = 5cm

height of cylinder = 12cm - 5cm = 7cm

surface area = 2pi(5)7 + pi(5)^2 + 2pi(5)^2 = 455.53cm^2 (5sf)

Answer:

455.53cm^2

Is this correct?

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