If the points (-2,3), (x, y) and (-3,5) lie on a straight line then the equation of the line is______

x - 2 y - 1 = 0

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2 x + y - 1 = 0

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x + 2 y - 1 = 0

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2 x + y + 1 = 0

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Solution

The correct option is B $2 x + y - 1 = 0$
Let the line be $y = m x + c$
The line passes through 3 points $(- 2, 3), (x, y)$ and $(- 3, 5)$
Now,
$3 = - 2 \times m + c$ .................. (i)
$5 = - 3 \times m + c$ .................... (ii)
Subtracting equation (ii) from (i) we get,
$m = - 2$
Substitute the value of $m$ in (I) we get,
$3 = - 2 (- 2) + c$
$=> c = 4 - 3$
$=> c = 1$
$∴$ the equation of the line is
$y = m x + c$
$=> y = - 2 x + 1$
$=> 2 x + y - 1 = 0$

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