Question 328327
Find the x and y intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{-3x+6y=36 }}}
{{{-3x=36 }}}
{{{x=-12}}}
(-12,0)
To find the y-intercept, set x=0 and solve for y.
{{{-3x+6y=36 }}}
{{{6y=36}}}
{{{y=6}}}
(0,6)
Plot the points and connect them with a line.
.
.
.
{{{drawing(300,300,-15,10,-12,12, grid(1),circle(-12,0,.5),circle(0,6,.5),graph(300,300,-15,10,-12,12, (36+3x)/6))}}}
.
.
.
-x+2y=-8
Find the x and y intercepts.
To find the x-intercept, set y=0 and solve for x.
{{{-x+2y=-8}}}
{{{-x=-8 }}}
{{{x=8}}}
(8,0)
To find the y-intercept, set x=0 and solve for y.
{{{-x+2y=-8 }}}
{{{2y=-8}}}
{{{y=-4}}}
(0,-4)
Plot the points and connect them with a line.
.
.
.
{{{drawing(300,300,-15,10,-12,12, grid(1),circle(8,0,.5),circle(0,-4,.5),circle(-12,0,.5),circle(0,6,.5),graph(300,300,-15,10,-12,12, (36+3x)/6,(-8+x)/2))}}}