Points A and B are plotted on the grid. Which equation has a graph that passes through both A and B?

Class 9Linear Equations in Two VariablesLinear Equations

A $2 x - y = - 7$
B $x - 2 y = - 2$
C $x + 2 y = 6$
D $x - 2 y = 2$

Step-by-Step Solution

A = (- 4, - 1) : - 4 + 2 = - 2

✓.

B = (2, 2) : 2 - 4 = - 2

✓. The option

2 x - y = - 7

fits only A and

x + 2 y = 6

fits only

B

Answer: B)

x - 2 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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