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Which graph contains the point (−5, 8)

?(1 point)
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A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 5 increments on the x-axis and 8 increments on the y-axis in quadrant 4.
Image with alt text: A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 5 increments on the x-axis and 8 increments on the y-axis in quadrant 4.

A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 5 increments on the x-axis and 8 increments on the y-axis in quadrant 2.
Image with alt text: A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 5 increments on the x-axis and 8 increments on the y-axis in quadrant 2.

A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 5 increments on the x-axis and 8 increments on the y-axis in quadrant 3.
Image with alt text: A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 5 increments on the x-axis and 8 increments on the y-axis in quadrant 3.

A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 8 increments on the x-axis and 5 increments on the y-axis in quadrant 4.
Image with alt text: A graph of x versus y ranges from negative 10 to 10 in increments of 1 on both axes. A point is shown at 8 increments on the x-axis and 5 increments on the y-axis in quadrant 4.
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1 answer

The point \((-5, 8)\) is located at \(x = -5\) and \(y = 8\).

To determine which graph contains this point, we need to look for a point that matches these coordinates:

  • The \(x\)-coordinate should be negative (\(-5\)), which means it should be located in either quadrant 2 or quadrant 3.
  • The \(y\)-coordinate should be positive (\(8\)), which places the point above the x-axis in either quadrant 1 or quadrant 2.

Given the quadrants:

  • Quadrant 1 has positive \(x\) and positive \(y\).
  • Quadrant 2 has negative \(x\) and positive \(y\).
  • Quadrant 3 has negative \(x\) and negative \(y\).
  • Quadrant 4 has positive \(x\) and negative \(y\).

Therefore, the point \((-5, 8)\) must be in quadrant 2.

Based on your descriptions, the second graph indicates a point located in quadrant 2 with the appropriate coordinates. Hence, this is the graph that contains the point \((-5, 8)\).