What is y equal to 2x + 4y = -18

Slope = -1/2

Y intercept = -9/2

Work Shown:

2x + 4y = -18

2(x+2y) = -18 factor out 2

x+2y = -18/2 divide both sides by 2

x+2y = -9

2y = -9-x subtract x from both sides

2y = -x-9

y = (-x-9)/2 ... divide both sides by 2

y = (-x/2) - (9/2) ... break up the fraction

y = (-1/2)x - 9/2

The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.