What system of equations can be used to determine whether the paths of the boats will cross?!?!?!

Question

A map of a harbor is laid out on a coordinate grid, with the origin marking a buoy at the center of the harbor. A fishing boat is following a path that can be represented on the map by the equation y=x²-2x-4. A ferry is following a linear path that passes through the points ( -3,7 ) and (0.-5) when represented on the map. 

Answer 1

Using the two point form for a linear equation, the ferry is on the path

 

y = -4x - 5

 

-4x - 5 = x² - 2x - 4

0 = x² + 2x + 1

0 = (x + 1)²

 

The two crash at (-1, 0).