The equation of the line parallel to the line and passing through the middle point of the line segment joining the points and is:

Explanation: Solution 1. Find the middle point (midpoint): The midpoint of the segment joining and is: So, the midpoint is . 2. Determine the equation of the parallel line: Any line parallel to (or ) can be written as: 3. Find the value of : Since the line passes through the midpoint , substitute these values into the equation: 4. Final Equation: Substitute back into the parallel line equation:

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NIMCET 2013 — Mathematics PYQ

NIMCET | Mathematics | 2013

The equation of the line parallel to the line $2x - 3y = 7$ and passing through the middle point of the line segment joining the points $(1, 3)$ and $(1, -7)$ is:

Choose the correct answer: