MATH SOLVE

5 months ago

Q:
# 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:

m=2

b=-6

y=2x-6

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