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=(y_2-y_1)/(x_2-x_1)`

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

`m=(1-(-1))/(0-(-1))=(1+1)/(1)=(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.