Question

Select the correct inequality for the graph below. A solid line passing through points (1, 2) and (2, 5) has shading below. y < 3x - 1. y ≤ 3x - 1. y ≥ 3x - 1. y > 3x - 1

Answer 1

We are given with the points (1, 2) and (2, 5). We get the slope of the line from the two points. Hence, (5-2)/ (2-1), slope is equal to 3. Substituting in y-y1 = m(x-x1) where m is the slope, the equation becomes y - 2 = 3 (x-1). When simplified and considering the shading below the graph, the equation is y ≤ 3 x -1.

Answer 2

I think you forgot to attach the graph along with the question. Based on my research and knowledge, i am answering the question. "y ≤ 3x - 1" is actually the correct choice. The correct option among all the options that are given in the question is the second choice. I hope that this answer has come to your help.