Answer: (–9, 9)
Explanation:
if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then
The coordinates of the image point are (kx, ky).
Given: The coordinates of line segment A B are A(-6,8) and B(-3,3).
then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,
![(-3,3)\to(3(-3),3(3))\\\\\Rightarrow\ (-3,3)\to(-9,9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/3l8u1afb208gbo1d3x0ap83gcsezltgahv.png)
Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).