Select the coordinates a and b after dilation of the line segment AB with the scale factor of two centered at the origin where the endpoints are a three, seven and b four, nine

To find the new coordinates after dilation, multiply the x and y coordinates of each point by the scale factor of two.

Coordinates of point A (3, 7):
New x-coordinate of point A = 2 * 3 = 6
New y-coordinate of point A = 2 * 7 = 14
New coordinates of point A are (6, 14).

Coordinates of point B (4, 9):
New x-coordinate of point B = 2 * 4 = 8
New y-coordinate of point B = 2 * 9 = 18
New coordinates of point B are (8, 18).