Question

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

Answer 1

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have slope, which are opposite reciprocals

y = mx + $b_{1}$

y = - $\frac{1}{m}$ x + $b_{2}$

In given equation m = - 1, the perpendicular line has m = 1

y - (- 4) = 1 × (x - (- 9))

y + 4 = x + 9

y = x + 5