×+ 2y = -4 wite that equation in slope intercept form

X + 2y = -4
-x            -x

2y   = -x - 4

Divide all by 2

y = -x/2 - 2

y = (-1/2)x - 2

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. To turn x+2y=-4 into the form you are asking for, you have to isolate y. The first step to accomplishing that is to subtract x from both sides.
2y=-x-4

Next, you divide both sides by 2 and you'll have slope-intercept form!!!
y=-1/2x-2

The slope is -1/2 (remember, rise/run) and the line intersects the y-axis at point (0,-2).