Question

Find the y-intercept of a line that passes through (-2,6) and has a slope of -5

Answer 1

First find the equation of the line whose slope is -5 and passes through (-2, 6).

`\begin{gathered} y-6=-5(x-(-2)) \\ y-6=-5(x+2) \\ y-6=-5x-10 \\ y=-5x-4 \end{gathered}`

For y-intercept, substitute x = 0.

`\begin{gathered} y=-5(0)-4 \\ y=-4 \end{gathered}`

Thus, the y-intercept is -4.