Any point on the line y = x is of the form
a. (a, a)
b. (0, a)
c. (a, 0)
d. (a, -a)
Solution:
We know that
Any point on the line y = x will have same x and y coordinate
So any point on the line y = x will be (a, a)
Therefore, any point on the line y = x will be (a, a).
✦ Try This: The graph of the linear equation 6x + 3y = 18 cuts the y-axis at the point a. (6 0), b. (0, 3), c. (3, 0), d. (0, 6)
The given linear equation is
6x + 3y = 18
It is given that the equation cuts the y-axis which means that x-coordinate is 0
Substituting x = 0 in the linear equation
6 (0) + 3y = 18
0 + 3y = 18
3y = 18
Dividing both sides by 3
y = 6
So the coordinates are (0, 6)
Therefore, the graph of the linear equation cuts the y-axis at the point (0, 6).
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 8
Any point on the line y = x is of the form a. (a, a), b. (0, a), c. (a, 0), d. (a, -a)
Summary:
Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept. Any point on the line y = x is of the form (a, a)
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