Question 594137


<h4>x-intercept</h4>

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



{{{2x+3y=6}}} Start with the given equation.



{{{2x+3(0)=6}}} Plug in {{{y=0}}}.



{{{2x+0=6}}} Multiply {{{3}}} and 0 to get 0.



{{{2x=6}}} Simplify.



{{{x=(6)/(2)}}} Divide both sides by {{{2}}} 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



{{{2x+3y=6}}} Start with the given equation.



{{{2(0)+3y=6}}} Plug in {{{x=0}}}.



{{{0+3y=6}}} Multiply {{{2}}} and 0 to get 0.



{{{3y=6}}} Simplify.



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



{{{y=2}}} Reduce.



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