Question 59486
how uo u graph y=6-x
               y=x+4

and describe it as consistend and independent, consistent and dependent, or inconsistent
For the first line y=6-x, let x=0 and solve for y
y=6-0
y=6 Plot (0,6)
Now let x=2 and solve for y
y=6-2
y=4  Plot (2,4) Connect the points and you have this line:
{{{graph(300,200,-10,10,-10,10,6-x)}}}
For the secon line y=x+4, let x=0 and solve for y.
y=0+4
y=4 Plot (0,4)
Now let x=2 and solve for y
y=2+4
y=6 Plot (2,6)
Connect the points and you have a second line.
{{{graph(300,200,-10,10,-10,10,6-x,x+4)}}}
The lines intersect at one and only one point (1,5), so it's consistent and independent.
Parallel lines are inconsistent and independent.
Lines that lie right on top of each other are consistent and dependent.
Happy Calculating!!!