The slope is -4 and it passes through (5,8)

the equation is : y = - 4x+28

Step-by-step explanation:

Hello:

equation is the line is : y = ax+b        a is a slope

y = -4x+b

passing through the point (5;8) :  8 =(-4)(5)+b   so : b = 28

y = - 4x+28

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2