Question 336013
To find the x-intercept, set y=0 and solve for x.
{{{3x+2y=2}}}
{{{3x+0=2}}}
{{{3x=2}}}
{{{x=2/3}}}
(2/3,0)
Plot that point.
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{{{drawing(300,300,-3,3,-3,3,grid(1),circle(2/3,0,.2),graph(300,300,-3,3,-3,3,0))}}}
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To find the y-intercept, set x=0 and solve for y.
{{{3x+2y=2}}}
{{{0+2y=2}}}
{{{y=1}}}
(0,1)
Plot that point too.
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{{{drawing(300,300,-3,3,-3,3,grid(1),circle(0,1,.2),circle(2/3,0,.2),graph(300,300,-3,3,-3,3,0))}}}
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Now connect the two points with a line going through both points.
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{{{drawing(300,300,-3,3,-3,3,grid(1),circle(0,1,.2),circle(2/3,0,.2),graph(300,300,-3,3,-3,3,(2-3x)/2))}}}
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