M.L Aggarwal book Important Question of class 10 chapter Based on Equation of a Straight Line for ICSE BOARD.

You have to find the equation of the line which is parallel and passes through the given point

This is the Question Number 14, Exercise 12.2 of M.L Aggarwal.

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# Find the equation of the line which is parallel to 3x – 2y = – 4 and passes through the point (0, 3).

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Given line: 3x – 2y = -4

Slope (m

_{1}) is given by2y = 3x + 4

y = (3/2) x + 2

So, m

_{1}= 3/2Now, the slope of the line parallel to the given line will have the same slope as 3/2 = m

And the line passes through point (0, 3)

Thus, the equation of the required line is given by

y = mx + c

y = (3/2) x + 3

2y = 3x + 6

3x – 2y + 6 = 0