Answer:
[tex]Slope\ of\ A'B'= 3[/tex]
Step-by-step explanation:
Given
[tex]Slope\ of\ AB= 3[/tex]
Required
Determine the slope of A'B'
Represent the coordinates of AB with (x,y), such that
[tex]AB = (x,y)[/tex]
Since A'B' is 3 * AB, we have
[tex]A'B' = 3 * AB[/tex]
Substitute (x,y) for AB
[tex]A'B' = 3 * (x,y)[/tex]
[tex]A'B' = (3x,3y)[/tex]
Since the slope of AB = 3, then the slope of A'B' is also equal to 3 because dilation through (0,0) does not have effect on the slope
