Question 613793


<h4>x-intercept</h4>

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



{{{-4x+2y=8}}} Start with the given equation.



{{{-4x+2(0)=8}}} Plug in {{{y=0}}}.



{{{-4x+0=8}}} Multiply {{{2}}} and 0 to get 0.



{{{-4x=8}}} Simplify.



{{{x=(8)/(-4)}}} Divide both sides by {{{-4}}} 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



{{{-4x+2y=8}}} Start with the given equation.



{{{-4(0)+2y=8}}} Plug in {{{x=0}}}.



{{{-0+2y=8}}} Multiply {{{-4}}} and 0 to get 0.



{{{2y=8}}} Simplify.



{{{y=(8)/(2)}}} Divide both sides by {{{2}}} to isolate {{{y}}}.



{{{y=4}}} Reduce.



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



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