Question

point on y-axis has coordinates. a. (-a, b) b. (a, 0) c. (0,b) d. (-a, -b)​

Answer 1

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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