You start by y=mx+b.
b = y-intercept
m= slope
Positive m or slope should be pointed / direction
Negative slope should be \ direction
Zero slope is -
An undefined slope is | (straight up and down)
My teacher taught us with slope dude. (Image attached below)
On your number line you would go to the y line (vertical line) and move down to -3/4 for the y-intercept. You then make a dot on that spot. You would then put in the slope.
You use slope by rise/run so 3 would be 3/1. This means from the dot previously made you would go up 3 (should land on +2 and 3/4. Don’t make a dot yet. You move over to the right 1 time (because of the positive slope)
Your second dot should be one the coordinates ( 1, 2.75) I did 2.75 because sometimes it is easier to turn a fraction into decimals.
You keep the pattern of going up 3 and to the right 1. Your 3rd dot should be on ( 2, 5.75).
Once you get enough dots you take a ruler or other straight end he and match up the dots to draw the line.