Question 336727
Plot the intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{3y=21-6x}}}
{{{21-6x=0}}}
{{{6x=21}}}
{{{x=7/2}}}
({{{7/2}}},{{{0}}})
Plot it.
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{{{drawing(300,300,-5,5,-2,8,grid(1),circle(7/2,0,0.3),graph(300,300,-5,5,-2,8,0))}}}
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To find the x-intercept, set y=0 and solve for x.
{{{3y=21-6x}}}
{{{3y=21}}}
{{{y=7}}}
({{{0}}},{{{7}}})
Plot it too.
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{{{drawing(300,300,-5,5,-2,8,grid(1),circle(0,7,0.3),circle(7/2,0,0.3),graph(300,300,-5,5,-2,8,0))}}}
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Now connect the two points with a line going through both.
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{{{drawing(300,300,-5,5,-2,8,grid(1),circle(0,7,0.3),circle(7/2,0,0.3),graph(300,300,-5,5,-2,8,(21-6x)/3))}}}