Answer:
y = -4/3x + 13/3, A
Explanation:
To find the line that is perpendicular to another line, the intersection of both lines must be at 90 degrees. Both slopes when multiplied should equate to -1. Since you have a slope of 3/4, to get the product of -1, you must multiply by -4/3 which would be the slope perpendicular to the given line. Now, we can use the point-slope formula to find the equation of the line. We can treat (-5,11) as (x₁,y₁) and plug it into the point-slope formula.
y-y₁=m(x-x₁) ; y-11=-4/3(x-(-5))
y = -4/3x - 20/3 + 11
y = -4/3x + 13/3, A