Question 177156
{{{6x-7y-11=0}}} Start with the given equation.



{{{6x-7y=11}}} Add 11 to both sides.



<h4>x-intercept</h4>

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



{{{6x-7y=11}}} Start with the given equation.



{{{6x-7(0)=11}}} Plug in {{{y=0}}}.



{{{6x-0=11}}} Multiply {{{-7}}} and 0 to get 0.



{{{6x=11}}} Simplify.



{{{x=(11)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



So the x-intercept is *[Tex \LARGE \left(\frac{11}{6},0\right)].



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<h4>y-intercept</h4>

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



{{{6x-7y=11}}} Start with the given equation.



{{{6(0)-7y=11}}} Plug in {{{x=0}}}.



{{{0-7y=11}}} Multiply {{{6}}} and 0 to get 0.



{{{-7y=11}}} Simplify.



{{{y=(11)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{y}}}.



{{{y=-11/7}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-\frac{11}{7}\right)].