Question 60805
graph each system of equations and describe it as consistent and independent,consistent and dependent, or inconsistent.

y=-x-2
x+y=-4
:
For y=-x-2
Let x=0 and y=?
y=-(0)-2
y=-2  Plot (0,-2)
Now let x=-2 and y=?
y=-(-2)-2
y=2-2
y=0  Plot (-2,0)
Connect the points and you have this line.
{{{graph(300,200,-10,10,-10,10,-x-2)}}}
For x+y=-4
Let x=0 and y=?
(0)+y=-4
y=-4  Plot (0,-4)
Let y=0 and x=?
x+(0)=-4
x=-4  Plot (-4,0)
Connect the points and you have a second line.
{{{graph(300,200,-10,10,-10,10,-x-2,-x-4)}}}
Notice that the lines a parallel and will never intersect.
This system has no solution and is inconsistent (and independent).
Happy Calculating!!!