Question 702866


{{{x+4y=-4}}} Start with the given equation.



{{{4y=-4-x}}} Subtract {{{x}}} from both sides.



{{{4y=-x-4}}} Rearrange the terms.



{{{y=(-x-4)/(4)}}} Divide both sides by {{{4}}} to isolate y.



{{{y=((-1)/(4))x+(-4)/(4)}}} Break up the fraction.



{{{y=-(1/4)x-1}}} Reduce.



So the equation {{{y=-(1/4)x-1}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-1/4}}} and the y-intercept is {{{b=-1}}} note: the y-intercept is the point *[Tex \LARGE \left(0,-1\right)]