Question

*Find the equation of a straight line passing through point (4, 3) with slope 2.*

1️⃣ 2x − y + 5 = 0
2️⃣ 2x − y − 5 = 0
3️⃣ y + 2x = −5
4️⃣ −2x − y = −5​

Answer 1

/* We know that */

$Equation \: of \: the \: line \: passing \: through\\the \: point \: ( x_{1}, y_{1} ) \: with \: slope \:m\: is:$

$\boxed{ \pink{ y - y_{1} = m (x - x_{1}) }}$

$Here, ( x_{1}, y_{1} ) = ( 4 , 3 ) \: and \: m = 2$

$\implies y - 3 = 2( x - 4 )$

$\implies y - 3 = 2x - 8$

$\implies 0 = 2x - 8 - y + 3$

$\implies 0 = 2x - y - 5$

$\implies 2x - y - 5 = 0$

Therefore.,

$Option \: \green { ( 2 ) } \: is \: correct$

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Answer 2

Answer:

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