First, write the equation of the line.
Let's find the y-intercept.
- => y = mx + b
- => y = mx + 5
Now, let's find the slope.
- My chosen points: (1,2) and (-1,2)
Finding the slope:
Our equation: y = -3x + 5
Now, let's change the sign to "≤" because that will tell us the area of the gray region. If we were using the sign "≥", that would find the area of the blue region.
Linear inequality = y ≤ -3x + 5
Option B is correct.