Question 531546


<h4>x-intercept</h4>

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



{{{8x-3y=-6}}} Start with the given equation.



{{{8x-3(0)=-6}}} Plug in {{{y=0}}}.



{{{8x-0=-6}}} Multiply {{{-3}}} and 0 to get 0.



{{{8x=-6}}} Simplify.



{{{x=(-6)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}.



{{{x=-3/4}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(-\frac{3}{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-3y=-6}}} Start with the given equation.



{{{8(0)-3y=-6}}} Plug in {{{x=0}}}.



{{{0-3y=-6}}} Multiply {{{8}}} and 0 to get 0.



{{{-3y=-6}}} Simplify.



{{{y=(-6)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}.



{{{y=2}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,2\right)].



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