Pregunta
Determine which quadrant the point \((-4, 5)\) is located in.
Ask by Turner Elliott. in South Africa
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The point \((-4, 5)\) is in Quadrant II.
Solución
To determine the quadrant in which the point \((-4, 5)\) is located, we can analyze the signs of the coordinates:
1. The x-coordinate is \(-4\), which is negative.
2. The y-coordinate is \(5\), which is positive.
The quadrants are defined as follows:
- Quadrant I: \(x > 0\) and \(y > 0\)
- Quadrant II: \(x < 0\) and \(y > 0\)
- Quadrant III: \(x < 0\) and \(y < 0\)
- Quadrant IV: \(x > 0\) and \(y < 0\)
Since the x-coordinate is negative and the y-coordinate is positive, the point \((-4, 5)\) is located in Quadrant II.
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Simplifique esta solución Mind Expander
The point \((-4, 5)\) has a negative x-coordinate and a positive y-coordinate. This means it is located in the upper-left section of the coordinate plane. Specifically, this area is known as the second quadrant, where all points have negative x-values and positive y-values. If you're ever confused about quadrants, just remember: Quadrant I (positive, positive), Quadrant II (negative, positive), Quadrant III (negative, negative), and Quadrant IV (positive, negative). Knowing this can help you quickly identify the location of any point!
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