First slide

Equation of line in Straight lines

Question

Consider the equation $y - y_{1} = m (x - x_{1}) .$ In this equation, if m and $x_{1}$ are fixed and different lines are drawn for different values of $y_{1},$ then

Moderate

A

the lines will pass through a single point
B

there will be one possible line only
C

there will be a set of parallel lines
D

none of these

Solution

We have, $y - y_{1} = m (x - x_{1}),$ where $m$ and $x_{1}$ are fixed. Therefore, the system represents a set of parallel lines of hope $m .$

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