Question

Which of the following inequalities matches the graph below?

(A) The correct inequality is not listed.
(B) 5x + y ≥ 1
(C) 5x + y ≤ 1
(D) 5x − y ≥ 1

Answer 1

C ‍♀️.. I had this same problem an hour ago and I put C

Answer 2

The answer to your question is letter A

Explanation:

Process

1.- Find two points of the line

A (1, 4) B ( -1, 5)

2.- Find the slope of the line

`m = (y2 - y1)/(x2 - x1)`

`m = (-5 - 4)/(-1 - 1)`

`m = (-9)/(-2) = (9)/(2)`

3.- Find the equation of the line

y - y1 = m(x - x1)

y - 4 = 9/2(x - 1)

2y - 8 = 9x - 9

9x - 2y = - 9 + 8

9x - 2y = - 1

4.- Convert the equation to a inequality,

9x - 2y ≤ -1