Line AB contains point A (-4, 1) and point 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 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, we multiply the x and y coordinates of each point by the scale factor.
For point A (-4, 1), multiplying the coordinates by a scale factor of 2 gives:
x-coordinate of A after dilation = -4 * 2 = -8
y-coordinate of A after dilation = 1 * 2 = 2
So, the coordinates of A after dilation are (-8, 2).
For point B (-1, 3), multiplying the coordinates by a scale factor of 2 gives:
x-coordinate of B after dilation = -1 * 2 = -2
y-coordinate of B after dilation = 3 * 2 = 6
So, the coordinates of B after dilation are (-2, 6).