Any point on the y-axis is of the form
a. (x, 0)
b. (x, y)
c. (0, y)
d. ( y, y)

Solution:

We know that

The graph of every linear equation in two variables is a straight line and every point on the graph (straight line) represents a solution of the linear equation.

Thus, every solution of the linear equation can be represented by a unique point on the graph of the equation.

The graphs of x = a and y = a are lines parallel to the y-axis and x-axis, respectively.

Any point on the y-axis is of the form (0, y)

Therefore, the point on the y-axis is (0, y).

✦ Try This: The linear equation 10x - 2y = 8 has a. A unique solution, b. Two solutions, c. Infinitely many solutions, d. No solution

Given

10x - 2y = 8

By rearranging

2y = 10x - 8

So we get

y = 5x - 4

Here we will get different values of y for various x values

Therefore, the linear equation has infinitely many solutions.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.1 Sample Problem 3

Any point on the y-axis is of the form a. (x, 0), b. (x, y), c. (0, y), d. ( y, y)

Summary:

An equation that has the highest degree of 1 is known as a linear equation. Any point on the y-axis is of the form (0, y)

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