Question

What is the y-intercept of a line that has a slope of —3 and passes through point (0, -7)?

_7
-3
0
4

Answer 1

-7

Explanation:

well, y-intercept is value of y when x = 0.

from the problem, we already have the answer, it is -7

but more detailed way is

m = -3

`(y - ( - 7))/(x - 0) = - 3 \\ y - ( - 7) = - 3x \\ y = - 3x - 7 \\`

y-intercept is value of y when x = 0

`y = - 3(0) - 7 \\ y = - 7`