I can't figure out how to solve this word problem...

Question

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city created, the garbage truck will start at (–3, 4) and will stop at (5, 12). The dump truck will start at (5, –3) and will stop at (–4, 33). What are the coordinates of the intersection that both trucks drive through?

Answer 1

You have to find the lines between each starting and end point.

 

So find the equation for the line that goes through (–3, 4) and (5, 12). 

 

Then find the equation for the line that goes through (5, –3) and (–4, 33)

 

Now you'll have two equations in x and y.  Solve them together and the values of x and y that you get will give you the coordinates of the intersection point.