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
Accepted Solution
A:
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: