Final answer:
To convert the equation 12x-5y=-6 into slope-intercept form, divide both sides of the equation by -5 and rearrange the terms to solve for y. The resulting equation is y = (12/5)x + 6/5.
Step-by-step explanation:
To rewrite the equation 12x-5y=-6 in slope-intercept form, which is in the form y=mx+b, we need to isolate y on one side of the equation. Let's start by rearranging the equation:
12x - 5y = -6
-5y = -12x - 6
To isolate y, we can divide both sides of the equation by -5:
y = (12/5)x + 6/5
The equation is now in slope-intercept form, where the slope is 12/5 and the y-intercept is 6/5.