Answer:
2) y = -3x -15
Step-by-step 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.
[tex]y-y_1 = m(x-x_1)\\y-12=-3(x--9 )\\y-12=-3(x+9)\\y-12=-3x-27\\y=-3x-15[/tex]
