The straight line drawn passes through the points A and B. Which equation does the line represent?

Class 9Linear Equations in Two VariablesLinear Equations

A $x - 2 y = 2$
B $2 x + y = 2$
C $2 x - y = - 2$
D $2 x - y = 2$

Step-by-Step Solution

From the grid,

A = (2, 2)

and

B = (- 1, - 4)

. For

2 x - y = 2 : 4 - 2 = 2

and

- 2 + 4 = 2

. Both points fit, and each other option fails for at least one of them.

Answer: D)

2 x - y = 2

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.

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