Question 202118

{{{-4x+2y=10}}} Start with the given equation.



{{{2y=10+4x}}} Add {{{4x}}} to both sides.



{{{2y=4x+10}}} Rearrange the terms.



{{{y=(4x+10)/(2)}}} Divide both sides by {{{2}}} to isolate y.



{{{y=(4x)/2+(10)/(2)}}} Break up the fraction.



{{{y=2x+5}}} Reduce.



So the equation {{{y=2x+5}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=2}}} and the y-intercept is {{{b=5}}} note: the y-intercept is the point *[Tex \LARGE \left(0,5\right)]