Answer:
The graph is attached down
Step-by-step explanation:
The form of the linear inequality is y < b + m x, where
- m is the slope of the line
- b is the y-intercept, the point of intersection between the line and the y-axis (0, b)
- The solution of the inequality is the area under the line
To find which graph represents the inequality y < -1 + 2x
→ Find the y-intercept (the value of y at x = 0)
∴ b = -1
∴ The y-intercept is (0, -1)
From the given graphs we have two graphs that the line intersected the y-axis at (0, -1)
2nd graph in the 1st row
2nd graph in the 2nd row
∵ The sign of inequality is <
∴ The shaded area must be under the line
∴ The 2nd graph in the 1st row is our answer
The graph which represents the inequality y < -1 + 2x is attached down
