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Write a system of inequalities using the given graph

Write a system of inequalities using the given graph-example-1
User Riaan Walters
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1 Answer

21 votes
21 votes

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
User Angelyn
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3.3k points