## the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of the line afte

Question

the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of the line after dilation

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2022-04-08T11:32:10+00:00 0 Answers 0

## Answers ( 2 )

1. To solve this problem you must apply the proccedure shown below:

1. You have the the line y=2x-4 is dilated by a scale factor of 3/2 and centered at the origin.

2. The form of the a line is y=mx+b, where m is the slope and b is the y-intercept. Asdilation conserves theparallelism, the dilated linw will have the same slolpe: 2

m=2

3. By using the y-intercept, you have:

(0,-4)

0x3/2=0
-4(3/2)=-6

(0,-6)

4. Therefore, theequation that represent that image of the line after dilation is:

m=2
b=-6

y=2x-6

2. The equation that represent that image of the line after dilation is

[tex]y = 2x-6[/tex]

Given :

The line [tex]y=2x-4[/tex] is dilated by a scale factor of [tex]3div2[/tex] and centered at the origin.

Solution :

The given line has slope 2 and y intercept -4.

As dilation conserves the parallelism, the dilated line will have the same slope = 2 and the y intercept of the dilated line is

[tex]= -4times dfrac{3}{2}=-6[/tex]

Therefore the equation that represent that image of the line after dilation is

[tex]y = 2x-6[/tex]

For more information, refer the link given below

https://brainly.com/question/14022834