Question

Write an inequality to represent the graph below.

Answer 1

Answer:

The answer to your question is letter C

Step-by-step explanation:

Process

1.- Find two points of the line

A ( 0, -3)   B ( 2, 2)

2.- Find the slope of the line

    $m = \frac{y2 - y1}{x2 - x1} = \frac{2 + 3}{2 - 0}$

    $m = \frac{5}{2}$

3.- Find the equation of the line

    y - y1 = m(x - x1)

    y + 3 = 5/2(x - 0)

    y + 3 = 5/2 x

    y = 5/2 x - 3

4.- Convert the line to an inequality, we want the upper area so use ">"

    y > 5/2 x - 3

Answer 2

The answer (C) y> 5/2x - 3