Question

Determine the slope and the y-intercept. y = 5x + 6

Answer 1

When that equation is graphed, it produces a straiught line.  The slope
of the line is 5, and the line intersects the y-axis at y=6.

Answer 2

All function of type:  y = ax + b

a = slope     b = intersept

So:

slope = 5
intersept = 6