Question 312722
{{{x+3y=9}}}
Find the x and y intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{x+3y=9}}}
{{{x=9}}}
(9,0)
To find the y-intercept, set x=0 and solve for y.
{{{x+3y=9}}}
{{{3y=9}}}
{{{y=3}}}
(0,3)
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{{{ drawing( 300, 300, -10, 12, -10, 10, circle(9,0,.5),circle(0,3,.5),grid(1),graph( 300, 300, -10, 12, -10, 10, -(1/3)x+3)) }}} 
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{{{x-2y = -6}}}
Same thing. Find the x and y intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{x-2y = -6}}}
{{{x=-6}}}
(-6,0)
To find the y-intercept, set x=0 and solve for y.
{{{x-2y = -6}}}
{{{-2y = -6}}}
{{{y=3}}}
(0,3)
{{{ drawing( 300, 300, -10, 12, -10, 10, circle(9,0,.5),circle(0,3,.5),circle(-6,0,.5),grid(1),graph( 300, 300, -10, 12, -10, 10, -(1/3)x+3,(1/2)x+3)) }}} 
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As we already found out, the two lines share the same y-intercept (0,3).