the endpoints of line ab are a(-2,-3) and b(3,2). Point c lies on line ab and is 2/5 of the way from a to b. what are the coordinates of Point C ? Explain how you found you answer

Question

Explain how you found the answer

Answer 1

The graph below shows that the solution relies on similar triangles.

C lies 2/5 of the way between the x and y coords. Since the difference in each case is 5 units, C is 2 units to the right of A and 2 units above A: -2+2=0, -3+2=-1 so C is (0,-1).