To plot the point \((- \frac{9}{2}, - \frac{5}{2})\) on a Cartesian coordinate system, you'll need to follow these steps:
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Convert the coordinates:
- The x-coordinate is \(- \frac{9}{2} = -4.5\)
- The y-coordinate is \(- \frac{5}{2} = -2.5\)
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Locate the x-coordinate:
- Find \(-4.5\) on the x-axis. Move 4.5 units to the left of the origin (0).
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Locate the y-coordinate:
- Find \(-2.5\) on the y-axis. Move 2.5 units down from the origin (0).
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Plot the point:
- From the location of \(-4.5\) on the x-axis, move vertically to the level of \(-2.5\) on the y-axis. Mark the point where these two meet.
The point \((-4.5, -2.5)\) will be in the third quadrant of the plane, where both the x and y coordinates are negative.