Question

What are the slope and y intercept of the line 4y= -x - 32

Answer 1

First you'll have to bring the equation in form y = mx + b.

4y = -x - 32
y = -1/4 x - 8

So the slope is -1/4 and y-intercept is -8

Hope this helps :)

Answer 2

$\bf 4y=-x-32\implies y=\cfrac{-x-32}{4}\implies y=\cfrac{-x}{4}-\cfrac{32}{4} \\\\\\ y=\stackrel{slope}{-\cfrac{1}{4}x}~~\stackrel{y-intercept}{-8}\impliedby slope-intercept~form$

and that's the reason why is called the slope-intercept form.