Respuesta :

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]