The equation of x-axis is of the form
a. x = 0
b. y = 0
c. x + y = 0
d. x = y

Solution:

We know that

Points on the x-axis are of the form (a, 0) where a is any real number

y-coordinate of the point of x-axis is 0

y = 0 is the equation of the x-axis

Therefore, the equation of x-axis is y = 0.

✦ Try This: If (5, 0) is a solution of the linear equation 3x + 4y = 6k, then the value of k is a. 4, b. 6, c. 5/2, d. 2

The given linear equation is

3x + 4y = 6k

The point given here is

(x, y) = (5, 0)

Let us substitute the given values in the equation

3 (5) + 4(0) = 6k

By further calculation

15 + 0 = 6k

So we get

k = 15/6

k = 5/2

Therefore, the value of k is 5/2.

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

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 9

The equation of x-axis is of the form a. x = 0, b. y = 0, c. x + y = 0, d. x = y

Summary:

The horizontal axis in a coordinate plane is represented by the x-axis. The equation of x-axis is of the form y = 0

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