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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 Amr Ayman
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1 Answer

18 votes
18 votes

For dark line

  • (0,1)
  • (-1,-4)

Slope

  • m=-4-1/-1=5

Equation in point slope form

  • y-1=5x
  • y=5x+1

Put (0,0)

  • 0<1

As line is dark sign is ≤

The inequality

  • y≤5x+1

For dashed line

  • (2,0)
  • (0,-2)

Equation in intercept form

  • x/2-y/2=1
  • x-y=2
  • y=x-2

Put (0,0)

  • 0>-2

Symbol is >

Inequality is

  • y>x-2
User Marcusnjones
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