The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point
a. (0, 2)
b. (2, 0)
c. (3, 0)
d. (0, 3)

Solution:

An equation that has the highest degree of 1 is known as a linear equation.

It means that no variable in a linear equation has an exponent more than 1.

The given linear equation is 2x + 3y = 6

It meets the x-axis which means that y = 0

Let us substitute it in the equation

2x + 3(0) = 6

2x = 6

Dividing both sides by 2

x = 3

Therefore, the graph of the linear equation is (3, 0).

✦ Try This: The graph of the linear equation 5x + 2y = 10 is a line which meets the x-axis at the point a. (0, 5), b. (5, 0), c. (2, 0), d. (0, 2)

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

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 14

The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point a. (0, 2), b. (2, 0), c. (3, 0), d. (0, 3)

Summary:

The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point (3, 0)

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