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
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
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-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]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