Answer: 2x+3y=12 becomes [tex]y = -\frac{2}{3}x+ 4[/tex]
3x+2y=-8 becomes [tex]y=-\frac{3}{2}x- 4[/tex]
Step-by-step explanation: Slope intercept form is y = mx + b
m is the slope. b is the y-intercept.
2x + 3y = 12 Subtract 2x from both sides
3y = -2x + 12 . Divide both sides by 3
y = -2x/3 + 4 to clarify the slope as a fraction it is [tex]y = -\frac{2}{3}x+ 4[/tex]
3x + 2y = -8 subtract 3x from both sides
2y = -3x - 8 divide both sides by 2
y = -3x/2 - 4 . to clarify the slope as a fraction [tex]y=-\frac{3}{2}x- 4[/tex]