Line AB contains Pointe A (-4, 1) and B (-1, 3). Find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin.
To dilate a point with a scale factor of 2 with respect to the origin (0,0), we multiply each coordinate of the point by the scale factor.
For point A(-4, 1):
x-coordinate of A' = -4 * 2 = -8
y-coordinate of A' = 1 * 2 = 2
Therefore, A' has coordinates (-8, 2).
For point B(-1, 3):
x-coordinate of B' = -1 * 2 = -2
y-coordinate of B' = 3 * 2 = 6
Therefore, B' has coordinates (-2, 6).