miguelm7011
Answered

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

Answer :

carlosego
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. As dilation conserves the parallelism, 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, the equation that represent that image of the line after dilation is:

 m=2
 b=-6

 y=2x-6

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]3\div2[/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]= -4\times \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

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