Question 560565


<h4>x-intercept</h4>

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



{{{5x+6y = 30}}} Start with the given equation.



{{{5x+6(0) = 30}}} Plug in {{{y=0}}}.



{{{5x+0 = 30}}} Multiply {{{6}}} and 0 to get 0.



{{{5x = 30}}} Simplify.



{{{x=(30)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=6}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(6,0\right)].



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<h4>y-intercept</h4>

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



{{{5x+6y = 30}}} Start with the given equation.



{{{5(0)+6y = 30}}} Plug in {{{x=0}}}.



{{{0+6y = 30}}} Multiply {{{5}}} and 0 to get 0.



{{{6y = 30}}} Simplify.



{{{y=(30)/(6)}}} Divide both sides by {{{6}}} to isolate {{{y}}}.



{{{y=5}}} Reduce.



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

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