Determine the slope of a parallel to the folling line 9x + 7y = 10

Recall that the slope formula is y=mx+b (m is the slope)

You need to first get y by itself, to do that you subtract 9x on both sides of the equation

9x+7y=10         subtract 9x to the left side where it will cancel it because you're adding a positive to a negative number that are the same, then you subtract 9x to the right side of the equation

when you do that you should get: 7y= -9x+10

Now you divide 7 on both sides

you then should get: y= -9/7x-10/7

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