Question 178409


<h4>x-intercept</h4>

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



{{{6x+9y=18}}} Start with the given equation.



{{{6x+9(0)=18}}} Plug in {{{y=0}}}.



{{{6x+0=18}}} Multiply {{{9}}} and 0 to get 0.



{{{6x=18}}} Simplify.



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



{{{x=3}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(3,0\right)].



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<h4>y-intercept</h4>

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



{{{6x+9y=18}}} Start with the given equation.



{{{6(0)+9y=18}}} Plug in {{{x=0}}}.



{{{0+9y=18}}} Multiply {{{6}}} and 0 to get 0.



{{{9y=18}}} Simplify.



{{{y=(18)/(9)}}} Divide both sides by {{{9}}} to isolate {{{y}}}.



{{{y=2}}} Reduce.



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