Question 339958
To find the x-intercept, set y=0 and solve for x.
 {{{3x+5y=12}}}
{{{3x+5(0)=12}}}
{{{3x=12}}}
{{{x=4}}}
(4,0)
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To find the y-intercept, set x=0 and solve for y.
{{{ 3x+5y=12}}}
{{{3(0)+5y=12}}}
{{{5y=12}}}
{{{y=12/5}}}
(0,12/5)
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Plot the points.
{{{drawing(300,300,-5,5,-5,5,grid(1),circle(4,0,0.2),circle(0,12/5,0.2),graph(300,300,-5,5,-5,5,0))}}}
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Then connect the points with a line through both points.
{{{drawing(300,300,-5,5,-5,5,grid(1),circle(4,0,0.2),circle(0,12/5,0.2),graph(300,300,-5,5,-5,5,(12-3x)/5))}}}