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The graph of the equation y = mx + c passes through the origin. Is the given statement true or false? Justify your answer

Solution:

The equation given is y = mx + c

If it passes through the origin the coordinates will be (0, 0)

Let us substitute the x and y value in the equation

0 = m (0) + c

0 = c

It does not satisfy the equation

Therefore, the statement is false.

✦ Try This: All the points (6, 0), (-3, 0), (2, 8) and (0, 5) lie on the x-axis. Is the given statement true or false? Justify your answer

The points given are (6, 0), (-3, 0), (2, 8) and (0, 5)

We know that

(6, 0) and (-3, 0) lies on the x-axis

(2, 8) lies in the first quadrant

(0, 5) lies on the y-axis

Therefore, the statement is false.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.2 Sample Problem 1(v)

Summary:

The statement “The graph of the equation y = mx + c passes through the origin” is false as x = 0 and y = 0 does not satisfy the equation

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