Question 348689
To find the x-intercept, set {{{y=0 }}} and solve for {{{x}}}.
{{{x+4y=8}}}
{{{x+4(0)=8}}}
{{{x=8}}}
({{{8}}},{{{0}}})
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To find the y-intercept, set {{{x=0}}} and solve for {{{y}}}.
{{{x+4y=8}}}
{{{0+4y=8}}}
{{{y=2}}}
({{{0}}},{{{2}}})
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Plot the intercepts.
Connect them with a line going through both. 
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{{{drawing(300,300,-6,10,-8,8,grid(1),circle(0,2,0.3),circle(8,0,0.3),graph(300,300,-6,10,-8,8,(8-x)/4))}}}