Question 350674


<h4>x-intercept</h4>

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



{{{9x-6y=11}}} Start with the given equation.



{{{9x-6(0)=11}}} Plug in {{{y=0}}}.



{{{9x-0=11}}} Multiply {{{-6}}} and 0 to get 0.



{{{9x=11}}} Simplify.



{{{x=(11)/(9)}}} Divide both sides by {{{9}}} to isolate {{{x}}}.



So the x-intercept is *[Tex \LARGE \left(\frac{11}{9},0\right)].



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<h4>y-intercept</h4>

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



{{{9x-6y=11}}} Start with the given equation.



{{{9(0)-6y=11}}} Plug in {{{x=0}}}.



{{{0-6y=11}}} Multiply {{{9}}} and 0 to get 0.



{{{-6y=11}}} Simplify.



{{{y=(11)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{y}}}.



{{{y=-11/6}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-\frac{11}{6}\right)].



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