NCERT Class 9 Solutions: Linear Equation In Two Variable (Chapter 4) Exercise 4.3 – Part 1

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Linear equation:

Linear equation of form y=3x+1 at point (1,4) and (0,1)

Linear Equation of the Form Y=3x+1

Linear equation of form y=3x+1 at point (1,4) and (0,1)

Q-1 Draw the graph of each of the following linear equations in two variables:

  1. x+y=4

  2. xy=2

  3. y=3x

  4. 3=2x+y

Solution:

  1. x+y=4

    So, y=4x

    If x=1 then y=4x=41=3

    Point (x,y)=(1,3)

    If x=2 then y=4x=42=2

    Point (x,y)=(2,2)

    We plot the points (1,3) and (2,2) on the graph paper and join the same by a ruler to get the line which is the graph of the equation x+y=4

    Two point are joined the same by a ruler to get the line x+y=4 at point (1,3) and (2,2)

    X-Axis and Y-Axisn and Graphy of X+Y =4

    Two point are joined the same by a ruler to get the line x+y=4 at point (1,3) and (2,2)

  2. xy=2

    So, y=x2

    If x=2 then y=x2=22=0

    Point (x,y)=(2,0)

    If x=3 then y=x2=32=1

    Point (x,y)=(3,1)

    We plot the points (2,0) and (3,1) on the graph paper and join the same by a ruler to get the line which is the graph of the equation xy=2

    x-axis and y-axis and a line x-y = 2 ad points (3,1) and (2,0)

    X-Axis and Y-Axis and a Line X-Y = 2

    x-axis and y-axis and a line x-y = 2 ad points (3,1) and (2,0)

  3. y=3x

    If x=0 then y=3x=3(0)=0

    Point (x,y)=(0,0)

    If x=1 then y=3x=3=3

    Point (x,y)=(1,3)

    We plot the points (0,0) and (1,3) on the graph paper and join the same by a ruler to get the line which is the graph of the equation y=3x

    X-axis and y-axis and graph of equation y=3x at points (1,3) and (0,0)

    X-Axis and Y-Axis With Equation Y=3x

    X-axis and y-axis and graph of equation y=3x at points (1,3) and (0,0)

  4. 3=2x+y

    So, y=32x

    If x=1 then y=32x=32(1)=1

    Point (x,y)=(1,1)

    If x=0 then y=32x=3

    Point (x,y)=(1,3)

    We plot the points (1,1) and (1,3) on the graph paper and join the same by a ruler to get the line which is the graph of the equation 3=2x+y

    x-axis and y-axis and equation 3=2x+y at points (0,3),(1,1) and (2,0)

    X-Axis and Y-Axis Showing 3=2x+Y

    x-axis and y-axis and equation 3=2x+y at points (0,3),(1,1) and (2,0)

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