Answer:
[tex]y + 6 = \frac{1}{3}(x-4)[/tex]
Step-by-step explanation:
A perpendicular line is a line whose slope is the negative reciprocal of the other line. The line y + 1 = -3x - 5 has slope -3. This means the line perpendicular will be 1/3.
Substitute 1/3 and (4.-6) into the point slope form of a line.
[tex]y - y_1 = m(x-x_1)\\y --6 = \frac{1}{3}(x - 4)\\y + 6 = \frac{1}{3}(x-4)[/tex]
