Question 169798


<h4>x-intercept</h4>

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



{{{3x-5y=-12}}} Start with the given equation.



{{{3x-5(0)=-12}}} Plug in {{{y=0}}}.



{{{3x-0=-12}}} Multiply {{{-5}}} and 0 to get 0.



{{{3x=-12}}} Simplify.



{{{x=(-12)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



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



So the x-intercept is *[Tex \LARGE \left(-4,0\right)].



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<h4>y-intercept</h4>

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



{{{3x-5y=-12}}} Start with the given equation.



{{{3(0)-5y=-12}}} Plug in {{{x=0}}}.



{{{0-5y=-12}}} Multiply {{{3}}} and 0 to get 0.



{{{-5y=-12}}} Simplify.



{{{y=(-12)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{y}}}.



{{{y=12/5}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,\frac{12}{5}\right)].