Answer:
[tex]y=-\frac{8}{3} x - 3[/tex]
Step-by-step explanation:
Slope-intercept form is y = mx + b.
You are given 8x + 3y = -9, so to convert this into slope-intercept form you would solve for y and rearrange the terms (if needed) to follow the format of mx + b.
Start by subtracting 8x from both sides of the equation.
3y = -9 - 8x
Divide both sides by 3 to isolate y.
y = -3 - 8/3x
Rearrange the terms so the "x" variable is first.
y = -8/3x - 3