Question 581614


{{{4x+2y=-24}}} Start with the given equation.



{{{2y=-24-4x}}} Subtract {{{4x}}} from both sides.



{{{2y=-4x-24}}} Rearrange the terms.



{{{y=(-4x-24)/(2)}}} Divide both sides by {{{2}}} to isolate y.



{{{y=((-4)/(2))x+(-24)/(2)}}} Break up the fraction.



{{{y=-2x-12}}} Reduce.



So the equation {{{y=-2x-12}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-2}}} and the y-intercept is {{{b=-12}}} note: the y-intercept is the point *[Tex \LARGE \left(0,-12\right)]