1) 3x − 2y = 8 2) 3x + 4y = −20 Write the slope-intercept form of the equation of each line. SHOW WORK

1)

2)

Step-by-step explanation:

Slope-intercept form of the equation of a line: y = mx + b

In each case, solve the equation for y.

1)

3x - 2y = 8

-2y = -3x + 8

2)

3x + 4y = -20

4y = -3x - 20

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