Hi there!
I think the slope of the line crossing over the graph is negative.
Why?
Because y=−0.666667x−7.666667 OR, read below!
We will get a negative answer, to show that our slope is negative.
We'll solve for y instead of x.
2x + 3y + 23 = 0
1) Add -23 to both sides. (We're already starting out with a negative!)
2x + 3y + 23 + −23 = 0 + −23
2x + 3y = −23
2) Add -2x to both sides.
2x + 3y + −2x = −23 + −2x
3y = −2x − 23
3) Divide both sides by 3.
3y/3 = -2x - 23/3
y = -2/3x + -23/3
So, now that we've done all 3 steps, your answer is
y = -2/3x + -23/3, which is a negative answer!
Now we see that the slope of 2x+3y+23=0 is negative.
Hope this helps! :D
Meant to add - The /'s are fraction bars