Write an equation in point slope form of the line graphed below. (Use the right hand point)

y-3 = (-1/4)(x-4)

Step-by-step explanation:

Point-slope form is written as y-y1 = m(x-x1)

The y - 3 portion comes from the coordinate plotted, where the y-coordinate is 3, so from the function y-y1, y1 = 3.

The m equals the slope, the rise over run. Choose the two coordinates, subtract the y's from each other and the x's from each other, get the absolute value of them, and then put in the fraction (y/x) to get your slope of m. The 2 coordinates you have are (0,4) and (4,3). You subtract |4-0| and |3-4|, so you get for the x's = 4, and the y's=1.  Now the slope was y/x, so 1/4 is your slope for m.

For the x, use the same coordinate you got for your y to get your x, so the x was 4.

Plug them all into the point-slope function to get your answer, which is y - (3), (-1/4) (x - [4])

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