If two lines having slopes $m_{1}$ and $m_{2}$ are parallel to each other, then which of the following is correct?

m_{1} = m_{2}

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m_{1} \times m_{2} = 1

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\frac{m_{1}}{m_{2}} = 2

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m_{1} = 3 \times m_{2}

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Solution

The correct option is A $m_{1} = m_{2}$
If two straight lines are parallel only when their slopes are equal.
Slope's defined as m= $t a n θ = \frac{y}{x}$

If above given two lines are parallel ratio of y-intercept to x-intercept must be equal.
So, any lines parallel to $y = m_{1} x + c$ is of the type $y = m_{2} x + d$ .
$∴$ $m_{1} = m_{2}$

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