Find the equation of the line passing through the origin and with a slope of 6?

y - 6 x = 0

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y = - 6

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x + y = - 6

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6 x + y = 0

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none of these

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Solution

The correct option is A $y - 6 x = 0$
The equation of line passing through (a,b) and having slope m is given by
$y - b = m (x - a)$
Therefore, the equation of line is
$y - 0 = 6 (x - 0)$
$\Rightarrow y = 6 x$
$\Rightarrow y - 6 x = 0$
Option A is correct.

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x^{2} + y^{2} - 6 x - 8 = 0

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