Question

Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).​

Answer 1

y = x + 5

Explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5