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

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

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

fwms@lil_ben06

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)