Any point on the x-axis is of the form
a. (x, y)
b. (0, y)
c. (x, 0)
d. (x, x)
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 (x, 0)
Therefore, the point on the y-axis is (x, 0).
✦ Try This: The graph of the linear equation 2x + 5y = 10 cuts the y-axis at the point a. (2, 0), b. (0, 5), c. (5, 0), d. (0, 2)
The given linear equation is
2x + 5y = 10
It is given that the equation cuts the y-axis which means that x-coordinate is 0
Substituting x = 0 in the linear equation
2 (0) + 5y = 10
0 + 5y = 10
5y = 10
Dividing both sides by 5
y = 2
So the coordinates are (0, 2)
Therefore, the graph of the linear equation cuts the y-axis at the point (0, 2).
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 7
Any point on the x-axis is of the form a. (x, y), b. (0, y), c. (x, 0), d. (x, x)
Summary:
An equation that has the highest degree of 1 is known as a linear equation. Any point on the x-axis is of the form (x, 0)
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