Answer:
y < 4x-1
Step-by-step explanation:
Slope intercept form is y = mx + c
c is where it cross the vertical line (the y-axis)
This happens at -1 so c is -1.
m is the slope
This is how far up it goes per unit along.
It goes from y=-1 to y=3 from x=0 to x=1
(0, -1) to (1, 3)
It goes 4 up per 1 along, 4/1 = 4 so m = 4
Final form of the line is y = 4x - 1
To find the inequality try (0, 0):
4(0) - 1 = -1
comparing y=0 to -1 we know 0 is bigger, BUT we don't want (0,0) to be in the region so we say
y < 4x - 1
You could do this for any point, like (1,1):
4(1) - 1 = 3
1 < 3 and we want this to be in the range so we once again say
y < 4x - 1
