Answer:
The inequality that graphed is y ≥ 2x + 2 ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
In the given figure
∵ The equation of the line is y = m x + b
∵ The line intersects the y-axis at the point (0, 2)
∴ b = 2
→ Use the rule of the slope m = [tex]\frac{y2-y1}{x2-x1}[/tex] to find m
∵ The line passes through points (-1, 0) and (0, 2)
∴ x1 = -1 and y1 = 0
∴ x2 = 0 and y2 = 2
→ Substitute them in the rule above
∴ m = [tex]\frac{2-0}{0--1}[/tex] = [tex]\frac{2}{0+1}[/tex] = 2
→ Substitute the values of m and b in the equation above
∴ The equation of the line is y = 2x + 2
∵ The line is solid
∵ The shaded area is over the line
∴ The sign of inequality is ≥
∴ The inequality is y ≥ 2x + 2
∴ The inequality that graphed is y ≥ 2x + 2
