Question 329183
{{{x + y/2=1}}}
Find the intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{x + y/2=1}}}
{{{x=1}}}
(1,0)
To find the y-intercept, set x=0 and solve for y.
{{{x + y/2=1}}}
{{{y/2=1}}}
{{{y=2}}}
(0,2)
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{{{drawing(300,300,-5,5,-3,7,grid(1),circle(1,0,.2),circle(0,2,.2),graph(300,300,-5,5,-3,7,2(1-x)))}}}
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Find the intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{y=1-3x}}}
{{{1-3x=0}}}
{{{3x=1}}}
{{{x=1/3}}}
(1/3,0)
To find the y-intercept, set x=0 and solve for y.
{{{y=1-3x}}}
{{{y=1}}}
(0,1)
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{{{drawing(300,300,-5,5,-3,7,grid(1),blue(circle(-1,4,0.3)),
blue(circle(-1,4,0.2)),
blue(circle(-1,4,0.1)),
blue(circle(-1,4,0.05)),
circle(1/3,0,.2),circle(0,1,.2),circle(1,0,.2),circle(0,2,.2),graph(300,300,-5,5,-3,7,2(1-x),1-3x))}}}
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Looks like (-1,4) is a solution.
Verify by plugging the pair into the equations.