Write an equation in slope intercept form (y=max+b) for the line passing through the points. Show your algebraic solving steps. (-2, -1) and (2,3)

Find the gradient first

m = (y2-y1)/(x2-x1) = 3-(-1)/2 - (-2) = 4/4 = 1

then find the equation of the... slope ._.

y - y1 = m(x - x1)

y - (-2) = 1(x - 3)

y + 2 = x - 3

y =x -3 - 2

y = x - 5

So the equation is y = x - 5

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