Which inequality is shown in this graph?

The inequality shown in the graph is y ≤ -3x + 3 ⇒ C

Step-by-step explanation:

The linear form of the equation of a line is y = m x + b, where

From the given graph

∵ The line passes through points (0, 3) and (2, -3)

∴ x1 = 0 and x2 = 2

∴ y1 = 3 and y2 = -3

∵ The slope of the line is m = Δy/Δx

∵ Δx = 2 - 0 = 2

∵ Δy = -3 - 3 = -6

∴ m =

∴ m = -3

∵ b is value y at x = 0

∴ b = 3

→ Substitute m and b in the form of the equation above

∴ y = -3x + 3

∵ The line is solid and the shading area is under the line

∴ The sign of inequality is ≤ ⇒ (smaller than or equal)

→ Change = in the equation by ≤ to get the inequality

∴ y ≤ -3x + 3

∴ The inequality shown in the graph is y ≤ -3x + 3

11 feet 6 inches and 8 feet 6 inches

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5