Question

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

Answer 1

The inequality that graphed is y ≥ 2x + 2 ⇒ B

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 =
`(y2-y1)/(x2-x1)` 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 =
`(2-0)/(0--1)` =
`(2)/(0+1)` = 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