Can someone please help me in how to graph x - y = 8
and
x + y = 6?

Question

Can someone please help me in how to graph x - y = 8
and 
x + y = 6?

anonymous · Answer

For the first line, what happens when $x=0$? When $y=0$?

anonymous · Answer

What?

anonymous · Answer

You're given this equation that gives you a relationship of the points $(x,y)$ in the coordinate plane, right?

If you fix one of these coordinates to be $0$, you'll be able to easily find the other coordinate and determine one of the points that lies on the line.

For example, if $x=0$, the first equation says that
$$\color{red}x-y=8~~\implies~~\color{red}0-y=8~~\implies~~y=-8$$
So when $x=0$, you get $y=-8$, which means you know the point $(0,-8)$ is on this line.

Now when $y=0$, you have
$$x-\color{red}y=8~~\implies~~x-\color{red}0=8~~\implies~~x=8$$
So when $y=0$, you get $x=8$, which represents the point $(8,0)$ in the plane.
|dw:1432480815502:dw|
Connect the dots and you get a line.

anonymous · Answer

Thank you!!!!! Can you help me with the other
?

anonymous · Answer

Seeing as I *did* the first one, how about you try using the same reasoning to tackle the second? Plug in $x=0$ and $y=0$, find the points that define the line, and you're done.