Final answer:
The equation in slope-intercept form is y = -3/2x - 6, with a slope of -3/2 and a y-intercept of -6.
Step-by-step explanation:
To rewrite the equation −3x−2y=12 in slope-intercept form, we need to solve for y to get the equation into the form y=mx+b, where m is the slope and b is the y-intercept.
First, we will add 3x to both sides of the equation:
−2y = 3x + 12
Then, we divide both sides by −2 to solve for y:
y = (−3x−12) / −2
y = −(3/2)x - 6
Therefore, the slope-intercept form of the equation is y = −(3/2)x - 6. The slope is −3/2 and the y-intercept is −6.