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Write the system of equations in Slope-Intercept Form from the graph below.

Write the system of equations in Slope-Intercept Form from the graph below.-example-1
User Akzhan Abdulin
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1 Answer

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20 votes

Answer:

  • y > -2x +3 . . . . line A
  • y ≤ x . . . . . . . . line B

Explanation:

You want the equations for the inequalities shown on the graph.

Line A

The downward sloping dashed line crosses the y-axis at y=3. It has a "rise" of -2 units for each 1 unit to the right. Its slope is rise/run = -2/1 = -2.

The equation for this boundary line can be written ...

y = -2x +3

The graph is shaded above this line, which is not included in the solution. The inequality graphed is ...

y > -2x +3

Line B

The upward sloping solid line crosses the y-axis at y=0 and has a rise of 1 for each run of 1 unit to the right. Its slope is 1/1 = 1, and its y-intercept is 0.

The equation for the boundary line can be written ...

y = 1x +0

The graph is shaded below the solid boundary line, so the boundary is included in the solution. The inequality graphed is ...

y ≤ x

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User Laszlok
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