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Assertion (A): The equation is a linear equation in two variables. Reason (R): It can be written as 0·. Which is correct?

Class 9Linear Equations in Two VariablesLinear Equations
  • ABoth A and R are true, and R correctly explains A
  • BBoth A and R are true, but R does not explain A
  • CA is true, R is false
  • DA is false, R is true

Step-by-Step Solution

is linear in two variables because it has the form ax + by + with (A true). R gives exactly this standard form, explaining why A is true.
Answer: A) Both A and R are true, and R correctly explains A

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.

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For 3x + 5y = 15, find the sum of the x-intercept and the y-intercept.When 3y = 5x is written in the standard form ax + by + c = 0, what are a, b and c?Express y in terms of x for the equation 2x + 3y = 12.Which of these ordered pairs is a solution of 3x − 2y = 12?The point (−2, y) lies on the line 5x + 3y = 2. Find y.