Answer:
y≤-x+1
Step-by-step explanation:
Since the line is slanted down and crossing through a point every one unit the slope is negative one. The line is also crossing 1 on the y-axis. This is the y-intercept. The last thing we need to know is which sign to use, less than, greater than, less than or equal to, greater than or equal to. We can immediately cross out less than and greater than because it is a solid line. The sign used on the graph is less than or equal to because it is a solid line shaded to the left. Now, we can use the formula with the information we have found to create the linear inequality.
Formula: y≤x+b
I put the less than or equal to sign there instead of the equal sign because the line graphed is less than or equal to. Plug in the information we have.
y≤-x+1
Using function notation.
f(x)≤-x+1
I have also attached a picture for you to see it is correct.
Hope this helps!
If not, I am sorry.
