Question 407445
{{{9y-3x=-6}}} Start with the given equation.



{{{-3x+9y=-6}}} Rearrange the terms.



<h4>x-intercept</h4>

To find the x-intercept, plug in {{{y=0}}} and solve for x



{{{-3x+9y=-6}}} Start with the given equation.



{{{-3x+9(0)=-6}}} Plug in {{{y=0}}}.



{{{-3x+0=-6}}} Multiply {{{9}}} and 0 to get 0.



{{{-3x=-6}}} Simplify.



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



{{{x=2}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(2,0\right)].



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<h4>y-intercept</h4>

To find the y-intercept, plug in {{{x=0}}} and solve for y



{{{-3x+9y=-6}}} Start with the given equation.



{{{-3(0)+9y=-6}}} Plug in {{{x=0}}}.



{{{-0+9y=-6}}} Multiply {{{-3}}} and 0 to get 0.



{{{9y=-6}}} Simplify.



{{{y=(-6)/(9)}}} Divide both sides by {{{9}}} to isolate {{{y}}}.



{{{y=-2/3}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-\frac{2}{3}\right)].



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