Answer and explanation: The equation for the slope-intercept form is y=mx+b. M represents the slope and b is y-intercept/when x= 0.
We have to arrange the given equation into the form y=mx+b.
3x+2y=-14, We want to somehow isolate y.
2y=-14-3x, We can move all the terms that don't have y to the right
y=(-14-3x)/2, We can get rid of the 2 by dividing by 2 on both sides
y=-7-(3/2)x, We can distribute the division by 2 to both terms on the right
y=-(3/2)x-7, We can now just rearrange the terms
The equation is now in the form y=mx+b as -3/2 is m and -7 is b. Your answer to the first question is A.
For part B, we can use the equation for part A. We know m or the slope is -3/2 so our answer is also A.