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

Answer:

The answer to your question is letter A

Step-by-step explanation:

Process

1.- Find two points of the line

A (1, 4)    B ( -1, 5)

2.- Find the slope of the line

     $m = \frac{y2 - y1}{x2 - x1}$

     $m = \frac{-5 - 4}{-1 - 1}$

     $m = \frac{-9}{-2} = \frac{9}{2}$

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