Question

2x+3y=12 what is this in slope intercpet form?
3x+2y=-8 what is this in slope intercept form?

Answer 1

Answer: 2x+3y=12 becomes
`y = -(2)/(3)x+ 4`

3x+2y=-8 becomes
`y=-(3)/(2)x- 4`

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
`y = -(2)/(3)x+ 4`

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
`y=-(3)/(2)x- 4`