Question

Write a system of inequalities using the given graph

Answer 1

Take two points

• (-2,1)
• (0,-3)

Slope

• m=-3-1/0+2=-4/2=-2

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

• y=-2x-3
• y=-2x-1

Put (0,0) on first one

• 0>-3

On second one

• 0>-1

So as lines are dashed symbols remain >

The inequalities are

• y>-2x-3
• y>-2x-1