point on y-axis has coordinates. a. (-a, b) b. (a, 0) c. (0,b) d. (-a, -b)
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c. (0, b)
Point on y-axis has coordinates (0, b).
Synopsis:
- We know that the equation of the x-axis is y = 0. What does it mean other than being an equation? It means that any point which lies on the x-axis has its y coordinate being zero (0). For example, (3, 0), (- 7, 0) lie on the x-axis.
- Also, the equation of the y-axis is x = 0. What does it mean other than being an equation? It means that any point which lies on the y-axis has its x coordinate being zero (0). For example, (0, 3), (0, - 7) lie on the y-axis.
Step-by-step explanation:
a. (- a, b)
If we take a, b > 0, then this point lies on the 2nd quadrant.
b. (a, 0)
Since the y coordinate is zero (0), this point lies on the x-axis.
c. (0, b)
Since the x coordinate is zero (0), this point lies on the y-axis.
d. (- a, - b)
If we take a, b > 0, then this point lies on the 4th quadrant.
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