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Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts the x-axis and the y-axis. - Mathematics

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Question

Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts the x-axis and the y-axis.

Graph

Solution

Consider the linear equation:

3x + 4y = 6

The solution of given (above) linear equation can be expressed as a table as follows:

x 2 –2 0
y 0 3 1.5

Now, plot that above point on the graph paper and then join the points, see below:

Therefore, the graph cuts the x-axis at (2, 0) and y-axis at (0, 1.5).

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Chapter 4: Linear Equation In Two Variables - Exercise 4.4 [Page 41]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 4 Linear Equation In Two Variables
Exercise 4.4 | Q 3. | Page 41

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