Which of the following is the equation of a line passing through origin with slope equal to 3?

x + y = 0

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x – y = 0

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y – 3x = 0

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x – y = 0

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Solution

The correct option is C y – 3x = 0
The equation of a line with slope m and passing through the point $(x_{1}, y_{1})$ is given by
$y - y_{1} = m \times (x - x_{1})$

Given, slope of the line is 3 and it passes through origin i.e., (0, 0).
$\Rightarrow y - 0 = 3 \times (x - 0)$
Therefore the equation of the line will be $y = 3 x o r y - 3 x = 0$

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