Question

Write an equation for a line perpendicular to y=-3x-5 and passing through the point (-9,-6)

Answer 1

The perpendicular slope would be the negative reciprocal of -3, which is $\frac{1}{3}$.

Let's see what the y-intercept should be, by finding one third of -6 and seeing how much we need to add or subtract to reach -9.

1/3 times -9 is -3.

To reach -6, we need to subtract 3.

So, the y-intercept is 7.

The equation is: $y=\frac{1}{3} x -3$.

Answer 2

The answer would be  y=13x+ -3.