Question

identify an equation in point slope form for the line perpendicular to y=1/4x-7 that passes through (-2,-6)​

Answer 1

`y+6=-4(x+2)`

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.

`y - y_1 = m(x-x_1)\\y --6=-4(x--2)\\y+6=-4(x+2)`