Question 473553


<h4>x-intercept</h4>

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



{{{3x-6y=90}}} Start with the given equation.



{{{3x-6(0)=90}}} Plug in {{{y=0}}}.



{{{3x-0=90}}} Multiply {{{-6}}} and 0 to get 0.



{{{3x=90}}} Simplify.



{{{x=(90)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=30}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(30,0\right)].



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<h4>y-intercept</h4>

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



{{{3x-6y=90}}} Start with the given equation.



{{{3(0)-6y=90}}} Plug in {{{x=0}}}.



{{{0-6y=90}}} Multiply {{{3}}} and 0 to get 0.



{{{-6y=90}}} Simplify.



{{{y=(90)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{y}}}.



{{{y=-15}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-15\right)].