Question 613769


<h4>x-intercept</h4>

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



{{{3x+y=-7}}} Start with the given equation.



{{{3x+0=-7}}} Plug in {{{y=0}}}.



{{{3x=-7}}} Simplify.



{{{x=(-7)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



So the x-intercept is *[Tex \LARGE \left(-\frac{7}{3},0\right)].



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<h4>y-intercept</h4>

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



{{{3x+y=-7}}} Start with the given equation.



{{{3(0)+y=-7}}} Plug in {{{x=0}}}.



{{{0+y=-7}}} Multiply {{{3}}} and 0 to get 0.



{{{y=-7}}} Simplify.



So the y-intercept is *[Tex \LARGE \left(0,-7\right)].



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