XY-Coordinate Question?

Question

In the xy-coordinate plane, the graph of x=y^2-4 (y-squared minus 4)
intersects line L at (0,p) and (5,t). What is the greatest possible value of the slope of L?

Answer 1

p is 2 or -2. t is 3 or -3.

That gives you 4 possible pairs of points, hence 4 possible lines, each with it's own slope.

Have at it.

A shortcut: At least one of the lines has obviously positive slope. Once you know that, you can reject the ones that have obviously negative slope without calculating their slopes precisely.