Question

Which of the following inequalities matches the graph? Graph of an inequality with a solid line through the points (1, 4) and (2, 9) with shading below the line.

A. 5x + y greater than or equal to 1
B. 5x + y less than or greater to 1
C. 5x - y greater than or equal to 1

Answer 1

The equation of the generic line is:

`image`

Where,

(xo, yo): ordered pair where the line passes

m: slope of the line

For the slope we have:

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

Substituting values:

`m = (9-4)/(2-1)`

`image`

Then, we choose an ordered pair:

`image`

Substituting values we have:

`image`

Rewriting we have:

`image`

Then, we know that the shaded region is below the line, so the inequation is:

`image`

Answer:

The following inequality matches the graph:

C. 5x - and greater than or equal to 1

Answer 2

The inequality 5x - y greater than or equal to 1 matches the graph. The correct answer between all the choices given is the last choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.