Question

Which ordered pair represents the y-intercept of the graph of the equation y = –4x – 7?

Answer 1

If y = –4x – 7, the x-intercept is found by setting y=0 and solving for x:

0 = –4x – 7  =>  4x = -7, or   x = -7/4       The x-intercept is (-7/4, 0).

The y-intercept is found by setting x = 0 and reading off the value of y:

y = –4x – 7  =>  y = 0 - 7, or y = -7.  The y-intercept is (0, -7).