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.

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+

To graph the equation 5x + y = -4, you can choose any values for x and solve for y to obtain the corresponding points. It seems that you have chosen the four points (-5,21), (-4,16), (0,-4), and (4,-24).

However, based on the equation 5x + y = -4, let's double-check those points to make sure they satisfy the equation:

For the point (-5,21):
5(-5) + 21 = -25 + 21 = -4 ✔️

For the point (-4,16):
5(-4) + 16 = -20 + 16 = -4 ✔️

For the point (0,-4):
5(0) + (-4) = 0 - 4 = -4 ✔️

For the point (4,-24):
5(4) + (-24) = 20 - 24 = -4 ✔️

It appears that all four points satisfy the equation 5x + y = -4.

Now, it seems that the graph you are using only goes up to 10 units on both the x and y-axis. Since your points have larger values for y, they might not be visible on the graph.

To fit the graph within the given bounds, you can adjust the scale of the axes. You could consider scaling the y-axis by a factor of 2 or more to accommodate the larger y-values, while keeping the x-axis scale the same.

Alternatively, if you have access to a graphing tool or software, you can input the equation 5x + y = -4, and it will automatically plot the points within the appropriate range.