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How to Find a Midpoint on a Quadrant

The Cartesian coordinate graph contains the intersection of a horizontal x-axis and a vertical y-axis that splits the graph into four quadrants. Quadrant I is on the upper right and contains positive numbers for both the x and y values. Quadrant II is on the upper left and contains positive numbers for y-values and negative for x-values. Quadrant III is in the bottom left and contains negative numbers for both x and y. Quadrant IV is in the bottom right and contains negative numbers for y and positive for x.

Instructions

- 1
  Calculate the midpoint of a line segment containing the points (-4, -6) and (2, 4) by taking the average of both the x and y-values. Add the x-values and divide by 2 -- (-4 + 2) / 2 = -2 / 2 = -1. Add the y-values and divide by 2 -- (-6 + 4) / 2 = -2 / 2 = -1. Write that the midpoint is (-1, -1).
- 2
  Create a coordinate graph with the x and y-axises labeled up to 10, in one digit increments. Graph the coordinate point (-1, -1) by finding the -1 on the x-axis and tracing it down to the point even with the -1 on the y-axis and drawing a dot.
- 3
  Label the quadrants of the graph, beginning with Quadrant I in the upper right corner and working around, counterclockwise, until Quadrant IV is in the bottom right corner. Write that the graph point falls within Quadrant III.

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