Patrick B. answered 05/07/20
Math and computer tutor/teacher
The given line is scrambled among the boxes:
Looks like y + 9 = -32(x + 7)
Please repost if it is not. Do not use fancy boxes and things...
just type it paying attention to parenthesis
y = -32(x+7) - 9
= -32x - 224 - 9
= -32x - 233
so the slope is (-32) which means the perpendicular line has slope 1/32
The perpendicular line eats (x=-6, y=-3)
B = y - mx = -3 - (-6)(1/32)
= -3 - (-6/32)
= (-96/32) - (-6/32)
= (-96 + 6)/32
= -90/32
= -45/16
the equation for the line that is perpendicular is
y = (1/32)x - 45/16