## 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

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## Answers ( 2 )

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-6The

equationthat represent thatimageof the line afterdilationis[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 2and y intercept -4.As dilation conserves the parallelism, the dilated line will have the same

slope = 2and they interceptof the dilated line is[tex]= -4times dfrac{3}{2}=-6[/tex]

Therefore the

equationthat represent thatimageof the line afterdilationis[tex]y = 2x-6[/tex]

For more information, refer the link given below

https://brainly.com/question/14022834