Question

Write an inequality to represent the graph below.

(A) y > 2/5x - 3
(B) y < 2/5x - 3
(C) y > 5/2x - 3
(D) y < 5/2x - 3

Answer 1

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

Answer 2

The answer to your question is letter C

Explanation:

Process

1.- Find two points of the line

A ( 0, -3) B ( 2, 2)

2.- Find the slope of the line

`m = (y2 - y1)/(x2 - x1) = (2 + 3)/(2 - 0)`

`m = (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