Question 335178
The easiest way to graph a line is to use the x and y intercepts since you only need two points to define a line.
To find the x-intercept, set y=0 and solve for x.
{{{x + 2y = 10 }}}
{{{x+0=10}}}
{{{x=10}}}
(10,0)
Plot that point.
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{{{drawing(300,300,-2,12,-5,9,grid(1),circle(10,0,.35),graph(300,300,-2,12,-5,9,0))}}}
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To find the y-intercept, set x=0 and solve for y.
{{{x + 2y = 10  }}}
{{{0+2y=10}}}
{{{y=5}}}
(0,5)
Plot that point.
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{{{drawing(300,300,-2,12,-5,9,grid(1),circle(10,0,.35),circle(0,5,.35),graph(300,300,-2,12,-5,9,0))}}}
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Now connect the points with a line that goes through both of them.
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{{{drawing(300,300,-2,12,-5,9,grid(1),circle(10,0,.35),circle(0,5,.35),graph(300,300,-2,12,-5,9,-x/2+5))}}}