NCERT Class 9 Solutions: Linear Equation in Two Variables (Chapter 4) Exercise 4.4 – Part 1

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Q-1 Give the geometric representation of as an equation

  1. In one variable

  2. In two variables

Solution:

  1. In one variable

    • The given equation is

    • In one variable

    • The representation of on the number line is shown below:

    x-axis and y-axis for the equation y=3. It is linear equation in one variable

    X-Axis and Y-Axis and Line Y=3 in One Variable

    x-axis and y-axis for the equation y=3. It is linear equation in one variable

  2. In two variables

    therefore

    Give x-axis and y-axis for the equation y=3 it equation is in two variable

    Give X-Axis and Y-Axis for Y=3 in 2 Variables

    Give x-axis and y-axis for the equation y=3 it equation is in two variable

It is linear equation in two variable and . This is represented by a line. All the value of are permissible because is always .However, must satisfy the relation .hence,two solutions of the given equation are s

Thus the graph AB is a line parallel to the x-axis at a distance of units above it.