Question

Jill and Lori each walk in a straight line between two points. Using the points on a map they created, Jill will start at (–2,–4) and will stop at (4, 2). Lori will start at (–1,6) and will stop at (4,–4) . Which point will Jill and Lori both walk through?

Answer 1

We develop the equation for each of the tracks that will be walked through by Jill and Lori. 
                   Jill:  y - 2 = ((2 - -4)/(4 - -2))(x - 4) ;   y = x - 2
                   Lori: y - 6 = ((-4 - 6)/(4 - -1))(x + 1);   y = -2x + 4
The intersection of these equation is (2,0).