Question 282861


<h4>x-intercept</h4>

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



{{{3x + 2y = 8}}} Start with the given equation.



{{{3x + 2(0) = 8}}} Plug in {{{y=0}}}.



{{{3x + 0 = 8}}} Multiply {{{2}}} and 0 to get 0.



{{{3x + 0 = 8}}} Simplify.



{{{3x=8}}} Multiply.



{{{x=(8)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



So the x-intercept is *[Tex \LARGE \left(\frac{8}{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 + 2y = 8}}} Start with the given equation.



{{{3(0) + 2y = 8}}} Plug in {{{x=0}}}.



{{{0 + 2y = 8}}} Multiply {{{3}}} and 0 to get 0.



{{{ + 2y = 8}}} Simplify.



{{{y=(8)/(2)}}} Divide both sides by {{{2}}} to isolate {{{y}}}.



{{{y=4}}} Reduce.



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