Answer: a. m = -1.5
Step-by-step explanation:
Given : Pentagon ABCDE is dilated by a scale factor of 4 with the origin as the center of dilation, resulting in the image Aā²Bā²Cā²Dā²E'.
The Ā slope (m) of AB is -1.5
The property of dilation says that the slope of a line remains same after dilation by a scale factor.
Therefore, the slope of A'B' must remains same as -1.5.
Thus , the slope of A'B' is -1.5 .
