Answer:
[tex]y=-\frac{4}{3}x-6[/tex]
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=3/4x-2 is 3/4. The slope perpendicular to it is -4/3.
Using m=-4/3, substitute it and (-12,10) into the point slope form and simplify to find the y-intercept.
[tex]y-y_1 = m(x-x_1)\\y-10=-\frac{4}{3}(x--12)\\y-10=-\frac{4}{3}(x+12)\\y-10=-\frac{4}{3}x-16\\y=-\frac{4}{3}x-6[/tex]
