Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.

y = -2x + 7

Step-by-step explanation:

y = -2x + 4

Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.

y-intercept through point (3, 1):

y = mx + b

1 = -2(3) + b

1 = -6 + b

b = 7

Equation of line that is parallel to original:

y = mx + b

y = -2x + 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