Question 762295


<h4>x-intercept</h4>

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



{{{-8x+y=10}}} Start with the given equation.



{{{-8x+0=10}}} Plug in {{{y=0}}}.



{{{-8x=10}}} Simplify.



{{{x=(10)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{x}}}.



{{{x=-5/4}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(-\frac{5}{4},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=10}}} Start with the given equation.



{{{-8(0)+y=10}}} Plug in {{{x=0}}}.



{{{-0+y=10}}} Multiply {{{-8}}} and 0 to get 0.



{{{y=10}}} Simplify.



So the y-intercept is *[Tex \LARGE \left(0,10\right)].