Question

Find the slopes of the lins passing through the given point.
A(2,3) B(4,7)

Answer 1

$\large \underline{ \underline{ \sf \: Solution \: :- \: \: \: }}$

$\star$Slope (m) of an non vertical line passing through the points (x1 , y1) and (x2 , y2) is given by :

$\large \sf \fbox{ \fbox{m = \frac{ \: \: \: y_{2} -y_{1} \: \: }{x_{2} - x_{1} } }}$

So ,

The slope of the line through A(2 , 3) and B(4 , 7) is

$\sf \implies m = \frac{7 - 3}{4 - 2} \\ \\ \sf \implies m = \frac{4}{2} \\ \\ \sf \implies m = 2$

$\therefore$The required slope of the given points is 2

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