Question 179575


{{{2x-y=6}}} Start with the given equation.



{{{-y=6-2x}}} Subtract {{{2x}}} from both sides.



{{{-y=-2x+6}}} Rearrange the terms.



{{{y=(-2x+6)/(-1)}}} Divide both sides by {{{-1}}} to isolate y.



{{{y=((-2)/(-1))x+(6)/(-1)}}} Break up the fraction.



{{{y=2x-6}}} Reduce.



So the equation {{{y=2x-6}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=2}}} and the y-intercept is {{{b=-6}}} 


note: the y-intercept is the point *[Tex \LARGE \left(0,-6\right)]