Question 528848


<h4>x-intercept</h4>

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



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



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



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



{{{2x  = 8}}} Simplify.



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



{{{x=4}}} Reduce.



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



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<h4>y-intercept</h4>

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



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



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



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



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



{{{y=(8)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{y}}}.



{{{y=-2}}} Reduce.



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



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