First, simplify the parenthesis. You’ll get:
1/4(4z)+7=-z+1
Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1
Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6
Divide both sides by 2. You’ll get :
z=-3
The answer is 4. Work shown in picture.
m =(y2-y1)/(x2-x1)
m =(-2 + 3 )/(-3 -2)
m = 1/-5
m = -1/5
slope of the line that is perpendicular = 5