Find the inequality represented by the graph .

The inequality represented by the graph is y ≤ x - 2

Step-by-step explanation:

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

The rule of the slope is m = , where

From the given figure

∵ The line passes through points (0, -2) and (2, -5)

∴ x1 = 0 and y1 = -2

∴ x2 = 2 and y2 = -5

→ Substitute them in the rule of the slope above

∵ m = = =

∴ m =

→ b is the value of y at x = 0

∵ At x = 0, y = -2

∴ b = -2

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

∵ y = x + -2

∴  y = x - 2

∴ The equation of the line is y = x - 2

∵ The line is solid

∵ The shaded area is under the line

∴ The sign of inequality is ≤

→ Replace = in the equation by ≤

∴ y ≤ x - 2

∴ The inequality represented by the graph is y ≤ x - 2

i cant see the graph

step-by-step explanation: