x - y < 1
Where does the negative sign cancel out?
x - y < 1
minus x
-y < -x + 1
-y / -1 < -x / -1 + -x / 1
y < x -1
You can first plug in 0 for x, to get our y-intercept value.
0-y<1
y<-1
Then we can plug in 0 for y, to get our x-intercept value.
x-0<1
x<1
Because this is a linear function, (we know because this is in general form)
General Form : Ax+By+C=0
Linear functions only need the y-intercept and x-intercept, so our graph will looks somewhat like this:
(This is kind of bad, its zoomed out, but I can assure you the intercepts are correct)
We can also see that it is a dashed line, we know this because it is only "less than", it has to be "less than or equal to" in order to be a solid line.