Question 363121

To find the x-intercept, set {{{y=0}}} and solve for {{{x}}}.
{{{-x+5y=10}}}
{{{-x+0=10}}}
{{{x=-10}}}
({{{-10}}},{{{0}}})
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To find the y-intercept, set {{{x=0}}} and solve for {{{y}}}.
{{{-x+5y=10}}}
{{{0+5y=10}}}
{{{y=2}}}
({{{0}}},{{{2}}})
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Plot the points, then connect them with a line.
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{{{drawing(300,300,-12,2,-7,7,grid(1),circle(0,2,0.35),circle(-10,0,0.35),graph(300,300,-12,2,-7,7,0,(10+x)/5))}}}