A straight line passes through (0, 0) and (3, 6). Which equation represents it?

Class 9Linear Equations in Two VariablesLinear Equations

A $y = x + 3$
B $x = 2 y$
C $y = 2 x$
D $y = 6 x$

Step-by-Step Solution

Test

y = 2 x

: at (0, 0), 0 = 0 ✓; at (3, 6), 6 = 2(3) ✓.

y = x + 3

misses the origin, while

x = 2 y

and

y = 6 x

both fail at (3, 6).

Answer: C)

y = 2 x

Key idea: Graphing a linear equation

Three steps:

1. Find at least **two solutions** (preferably the

x

and

y

intercepts — easiest to plot).
2. Plot those points on the coordinate plane.
3. Draw a straight line through them.

Every linear equation in two variables graphs as a STRAIGHT LINE. (That's why they're called 'linear'.)

For accuracy: find a third solution and verify it lies on the line — catches arithmetic mistakes.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Linear Equations in Two Variables practice questions

More Class 9 Linear Equations in Two Variables practice

For which value of c does the line 3x + 4y + c = 0 pass through the origin?Which of these lines passes through the point (−1, −1)?A shopkeeper sells x kg of rice and y kg of wheat, 40 kg in all, so x + y = 40. Where…The straight line drawn passes through the points A and B. Which equation does the line…The line y = x + 1 is drawn on the grid. Which of the marked points P, Q, R and S lies…