Question

What equation passes through and is perpendicular to the equation y=1/3x+6

Answer 1

2) y = -3x -15

Explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/3x+6 is 1/3. The slope perpendicular to it is -3.

Using m=-3, substitute it and (-9,12) into the point slope form and simplify to find the y-intercept.

`y-y_1 = m(x-x_1)\\y-12=-3(x--9 )\\y-12=-3(x+9)\\y-12=-3x-27\\y=-3x-15`