Question 179484


{{{9x-3y=54}}} Start with the given equation.



{{{-3y=54-9x}}} Subtract {{{9x}}} from both sides.



{{{-3y=-9x+54}}} Rearrange the terms.



{{{y=(-9x+54)/(-3)}}} Divide both sides by {{{-3}}} to isolate y.



{{{y=((-9)/(-3))x+(54)/(-3)}}} Break up the fraction.



{{{y=3x-18}}} Reduce.



So the equation {{{y=3x-18}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=3}}} and the y-intercept is {{{b=-18}}} note: the y-intercept is the point *[Tex \LARGE \left(0,-18\right)]