Question 354961
Use the intercepts to graph the equation.
To find the x-intercept, set {{{y=0}}} and solve for {{{x}}}.
{{{8x-6y=24}}}
{{{8x-6(0)=24}}}
{{{8x=24}}}
{{{x=3}}}
({{{3}}},{{{0}}})
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To find the y-intercept, set {{{x=0}}} and solve for {{{y}}}.
{{{8x-6y=24}}}
{{{8(0)-6y=24}}}
{{{-6y=24}}}
{{{y=-4}}}
({{{0}}},{{{-4}}})
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Now plot the two points and connect them with a straight line.
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{{{drawing(300,300,-8,8,-8,8,grid(1),circle(0,-4,0.3),circle(3,0,0.3),graph(300,300,-8,8,-8,8,(8x-24)/6))}}}