Select the correct answer. 7 2 2 4 Which of the following inequalities is graphed on the coordinate plane? O A y > 2r + 2 B.
Y 2r + 2 Oc. y < 2.r + 2 OD. y < 2x + 2 PLEASE I NEED HELP
1 answer:
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
- b is the y-intercept
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 = 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 = =
= 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
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