Question 542191


<h4>x-intercept</h4>

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



{{{6x-3y =12}}} Start with the given equation.



{{{6x-3(0) =12}}} Plug in {{{y=0}}}.



{{{6x-0 =12}}} Multiply {{{-3}}} and 0 to get 0.



{{{6x =12}}} Simplify.



{{{x=(12)/(6)}}} Divide both sides by {{{6}}} 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



{{{6x-3y =12}}} Start with the given equation.



{{{6(0)-3y =12}}} Plug in {{{x=0}}}.



{{{0-3y =12}}} Multiply {{{6}}} and 0 to get 0.



{{{-3y =12}}} Simplify.



{{{y=(12)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}.



{{{y=-4}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-4\right)].