Question 326989
Since they both equal y set them equal to each other to eliminate y.
{{{2x+3=-x-4}}}
{{{3x=-7}}}
{{{highlight(x=-7/3)}}}
Now use either equation to solve for y.
{{{y=7/3-4}}}
{{{y=7/3x-12/3}}}
{{{highlight(y=-5/3)}}}
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{{{y=2x +3}}}
To find x intercept, set y=0 solve for x.
{{{0=2x+3}}}
{{{2x=-3}}}
{{{x=-3/2}}}
(-3/2,0)
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To find y intercept, set x=0 solve for y.
{{{y=2x+3}}}
{{{y=3}}}
(0,3)
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{{{y=-x-4}}}
To find x intercept, set y=0 solve for x.
{{{0=-x-4}}}
{{{x=-4}}}
(-4,0)
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To find y intercept, set x=0 solve for y.
{{{y=-x-4}}}
{{{y=-4}}}
(0,-4)
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Now plot all of that information.
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{{{drawing(300,300,-6,4,-6,4,grid(1),circle(-4,0,.2),circle(0,-4,.2),circle(-3/2,0,.2),circle(0,3,.2),circle(-7/3,-5/3,.3),graph(300,300,-6,4,-6,4,2x+3,-x-4))}}}