Graph the line y=−3x+b if it is known that the graph goes through point:
A(−2, 4)
B(5, 2)
If you're trying to find out what b is then you should know that b is the y-intercept. So you just choose one of the coordinates and substitute it into the equation. I'll use A's coordinates.
y=-3x+b
4=-3(-2)+b
4=6+b
So to get from 6 to 4 you subtract 2.
b = -2