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
First, we need to calculate the coordinates of points a and b after the dilation with a scale factor of 5 and a center point of dilation at the origin.
For point a:
New x-coordinate = 1 * 5 = 5
New y-coordinate = 2 * 5 = 10
So, point a after dilation will be (5, 10).
For point b:
New x-coordinate = -2 * 5 = -10
New y-coordinate = -1 * 5 = -5
So, point b after dilation will be (-10, -5).