Question

Graph the equation by plotting points that satisfy the equation.
5x + y = −4

What would the 4 points be?
I'm getting:
-5,21
-4,16
0,-4
4,-24

The graph only goes up to 10.

Answer 1

I don't understand your solution.
What do you mean "the graph only goes up to 10" ?

There are an infinite number of points , all will lie in the same straight line

change the equation to
y = -5x - 4
now pick any x you feel like, and evaluate the corresponding y
e.g.
x -- y
0 -4
1 -9
2 -14
3 -19
...
did you notice that as you increase the x by 1, the y decreases by 5 ?
-1 1
-2 6
-3 11
-4 16
etc , as you decrease the x by 1, the y increases by 5

your points are all correct, now plot them and join them with a straight line.
If any of the points do not lie on your line, you made an error in counting or evaluation.

The line would extend in both directions, we indicate that by putting an arrow on each end

your graph should look something like this
http://www.wolframalpha.com/input/?i=plot+5x+%2B+y+%3D+−4+