(-8,12) is a point on a line perpendicular to -4x+10y = -5
solve the equation for y
10y =4x-5
y = 4x/10 -1/2 the slope is 4/10. the slope of the perpendicular line is the negative inverse -10/4 =-5/2
the perpendicular line is y=-5x/2 + b where b is the y intercept. solve for b by plugging in the point (-8,12)
12 =-5(-8)/2 + b
b = 12-20 = -8
the perpendicular line through the given point is
y=-5x/2 -8
in function notation the equation is
f(x) =-5x/2 -8
