Answer:
[tex]y+6=-4(x+2)[/tex]
Step-by-step explanation:
Perpendicular lines are lines which have negative reciprocal slopes. The slope of the equation is 1/4. This means the perpendicular slope is -4. Substitute m = 4 and (-2,-6) into the point slope formula.
[tex]y - y_1 = m(x-x_1)\\y --6=-4(x--2)\\y+6=-4(x+2)[/tex]
