PLEASE HELP! WILL ADD BRAINLIEST FOR CORRECT ANSWER

y ≤ x - 1

Step-by-step explanation:

from 2 points (0, -1) and (1, 0) we can find the slope = 1 and the y-intercept = -1

therefore, the slope-intercept form of this line is:  y = x - 1

since it's an inequality, we replace the equal sign with an inequality symbol

we choose '≤' because the line is solid (as opposed to dashed) and all points in the shaded area are less than when plugged into the equation

y ≤ x - 1

Check:

select a point in the shaded region, example (2, 0)

2 is the x-value and 0 is the y-value

plug in to see if the inequality is true:  0 ≤ 2 - 1  True

i hope this is what you were looking for.

see attached graph