The graph given below represents the linear equation x = 3 (see Fig. 4.2). Is the given statement true or false? Justify your answer
Solution:
From the graph
A line is parallel to the y-axis at a distance of 3 units to the right of origin
So the linear equation will be x = 3
Therefore, the statement is true.
✦ Try This: The graph of the linear equation 5x + 6y = 30 passes through the point (0, 2). Is the given statement true or false? Justify your answer
The linear equation given is 5x + 6y = 30
The point given is (0, 2)
Let us substitute it in the equation
0 + 6 (2) = 30
12 ≠ 30
Therefore, the statement is false.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.2 Problem 4
The graph given below represents the linear equation x = 3 (see Fig. 4.2). Is the given statement true or false? Justify your answer
Summary:
The statement “The graph represents the linear equation x = 3” is true as the line is parallel to the y-axis at a distance of 3 units to the right of origin
☛ Related Questions:
- The coordinates of points in the table: x 0 1 2 3 4 y 2 3 4 -5 6 represent some of the solutions of . . . .
- Every point on the graph of a linear equation in two variables does not represent a solution of the . . . .
- The graph of every linear equation in two variables need not be a line. Is the given statement true . . . .