Question

The picture won't load but it's a problem that asks: use the picture to determine which inequality represents the graph

Answer 1

First, we find the slope of the line using the points the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the points (-1, -1) and (0, 1). Where

$m=\frac{1-(-1)}{0-(-1)}=\frac{1+1}{1}=\frac{2}{1}=2$

Given that the slope is 2, then the answer is in the first column.

Observe that the region of solutions is above the solid line, which means the answer is

$y\ge2x+1$

The right answer is D.