The equation of the line passing through point P(3, 5) and having slope $m = 2$ is

2 x - y - 1 = 0

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2 y - x - 1 = 0

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2 x + y - 1 = 0

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2 y + x - 1 = 0

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Solution

The correct option is A $2 x - y - 1 = 0$
We know that, the equation of a line passing through point $P (a, b)$ and slope $m$ is given by
$(y - b) = m (x - a)$ .............. $(1)$
Here, the given point is $P (3, 5)$ and slope is $m = 2$
$∴$ from $(1)$ we get
$(y - 5) = 2 (x - 3)$
$⟹ y - 5 = 2 x - 6$
$⟹ 2 x - y = 1$
$⟹ 2 x - y - 1 = 0$ is the required equation of line.
Hence, option A is correct.

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The equation of the line passing through point P(3, 5) and having slope m=2 is

The equation of the line passing through point P(3, 5) and having slope $m = 2$ is