Question

Which of the following inequalities matches the graph?

graph of an inequality with a dashed line through the points (0, 7) and (1, 5) with shading below the line

2x + y < 7

2x - y > 7

2x + y < -7

The correct inequality is not listed

Answer 1

first, start with the slope:
7-5=2
0-1=-1
2/-1=-2

Answer 2

plug in a point to find b:
7=0(-2)+b
7=b

Answer 3

now write an equation:
-2x+7<y

Answer 4

now add 2x to each side
7<2x+y