Question 800782

<h4>x-intercept</h4>

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



{{{2x + y = 10}}} Start with the given equation.



{{{2x + 0 = 10}}} Plug in {{{y=0}}}.



{{{2x=10}}} Simplify.



{{{x=(10)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(5,0\right)].



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<h4>y-intercept</h4>

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



{{{2x + y = 10}}} Start with the given equation.



{{{2(0) + y = 10}}} Plug in {{{x=0}}}.



{{{0 + y = 10}}} Multiply {{{2}}} and 0 to get 0.



{{{y = 10}}} Simplify.



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