Question 274934

<h4>x-intercept</h4>

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



{{{9x + 3y = -13}}} Start with the given equation.



{{{9x + 3(0) = -13}}} Plug in {{{y=0}}}.



{{{9x + 0 = -13}}} Multiply {{{3}}} and 0 to get 0.



{{{9x=-13}}} Multiply.



{{{x=(-13)/(9)}}} Divide both sides by {{{9}}} to isolate {{{x}}}.



So the x-intercept is *[Tex \LARGE \left(-\frac{13}{9},0\right)].



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<h4>y-intercept</h4>

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



{{{9x + 3y = -13}}} Start with the given equation.



{{{9(0) + 3y = -13}}} Plug in {{{x=0}}}.



{{{0 + 3y = -13}}} Multiply {{{9}}} and 0 to get 0.



{{{y=(-13)/(3)}}} Divide both sides by {{{3}}} to isolate {{{y}}}.



So the y-intercept is *[Tex \LARGE \left(0,-\frac{13}{3}\right)].