Question 182027


{{{5x+6y=18}}} Start with the given equation.



{{{6y=18-5x}}} Subtract {{{5x}}} from both sides.



{{{6y=-5x+18}}} Rearrange the terms.



{{{y=(-5x+18)/(6)}}} Divide both sides by {{{6}}} to isolate y.



{{{y=((-5)/(6))x+(18)/(6)}}} Break up the fraction.



{{{y=-(5/6)x+3}}} Reduce.



So the equation {{{y=-(5/6)x+3}}} is now in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-5/6}}} and the y-intercept is {{{b=3}}} note: the y-intercept is the point *[Tex \LARGE \left(0,3\right)]