Line AB contains point A (1, 2) and point B (-2, -1). Find the coordinates of A and B after a dilation with a scale factor of 5 with a center point of dilation at the origin.
To find the new coordinates after dilation, you need to multiply each coordinate by the scale factor.
The coordinates of point A after dilation can be found by multiplying each coordinate by the scale factor: x-coordinate of A after dilation = (1) * 5 = 5, y-coordinate of A after dilation = (2) * 5 = 10. Therefore, the coordinates of point A after dilation are (5, 10).
The coordinates of point B after dilation can be found in the same way: x-coordinate of B after dilation = (-2) * 5 = -10, y-coordinate of B after dilation = (-1) * 5 = -5. Therefore, the coordinates of point B after dilation are (-10, -5).