Equation 1: 3y = 2x + 12
Slope: 2/3
X-Intercept: -6
Y-Intercept: 4
Equation 2: 2y - 4x = 12
Slope: 2
X-Intercept: -3
Y-Intercept: 6
Equation 3: 8y - 8 = 4x
Slope: 1/2
X-Intercept: -2
Y-Intercept: 1
Equation 4: 9y + 6x = -72
Slope: -2/3
X-Intercept: -12
Y-Intercept: -8
Equation 5: 4y = -8x + 32
Slope: -2
X-Intercept: 4
Y-Intercept: 8
Here is a graph showing all of the information and the simplified work:
Red line = equation 1
Blue line = equation 2
Green line = equation 3
Purple line = equation 4
Orange line = equation 5