The coordinates for A' is [tex](-3,6)[/tex]
Explanation:
Given that a triangle with point A has coordinate [tex](4,-8)[/tex]
It has a scale factor of [tex]-\frac{3}{4}[/tex]
We need to determine the coordinates for A'
The coordinates for A' can be determined by multiplying the scale factor with both the x and y coordinates of A
Let us consider the x - coordinate of A.
x - coordinate of A' = [tex]4\times(-\frac{3}{4} )[/tex]
=-3
Thus, the x - coordinate of A' is -3
Let us consider the y - coordinate of A.
y - coordinate of A' = [tex]-8\times(-\frac{3}{4} )[/tex]
= 6
Thus, the y - coordinate of A' is 6
Therefore, the coordinates of A' is [tex](-3,6)[/tex]