Question 549806


{{{5x-3y=-6}}} Start with the given equation.



{{{-3y=-6-5x}}} Subtract {{{5x}}} from both sides.



{{{-3y=-5x-6}}} Rearrange the terms.



{{{y=(-5x-6)/(-3)}}} Divide both sides by {{{-3}}} to isolate y.



{{{y=((-5)/(-3))x+(-6)/(-3)}}} Break up the fraction.



{{{y=(5/3)x+2}}} Reduce.



So the equation {{{y=(5/3)x+2}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=5/3}}} and the y-intercept is {{{b=2}}} note: the y-intercept is the point *[Tex \LARGE \left(0,2\right)]