Question 199792


<h4>x-intercept</h4>

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



{{{-8x+y=28}}} Start with the given equation.



{{{-8x+0=28}}} Plug in {{{y=0}}}.



{{{-8x=28}}} Simplify.



{{{x=(28)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}.



{{{x=-7/2}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(-\frac{7}{2},0\right)].



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<h4>y-intercept</h4>

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



{{{-8x+y=28}}} Start with the given equation.



{{{-8(0)+y=28}}} Plug in {{{x=0}}}.



{{{-0+y=28}}} Multiply {{{-8}}} and 0 to get 0.



{{{y=28}}} Simplify.



So the y-intercept is *[Tex \LARGE \left(0,28\right)].




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