Question 194478

{{{5y=10-x}}} Subtract {{{x}}} from both sides.

{{{5y=-x+10}}} Rearrange the terms.

{{{y=(-x+10)/5}}} Divide both sides by {{{5}}} to isolate y.

{{{y=(-1/5)x+10/5}}} Break up the fraction.

{{{y=-(1/5)x+2}}} Reduce.

So the equation {{{y=-(1/5)x+2}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-1/5}}} and the y-intercept is {{{b=2}}}

note: the y-intercept is the point *[Tex \LARGE \left(0,2\right)]