- AExactly one
- BExactly two
- CInfinitely many
- DNone
Step-by-Step Solution
Through one point infinitely many lines can be drawn; correspondingly there are infinitely many linear equations whose graphs pass through it.
Answer: C) Infinitely many
How many lines can pass through a single given point in the coordinate plane?
Class 9Linear Equations in Two VariablesLinear Equations
Key idea: Graphing a linear equation
Three steps:
1. Find at least **two solutions** (preferably the and 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.
1. Find at least **two solutions** (preferably the and 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
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