Question

Find the slope of the line that contains the points named. X(2, -1), Y(0, 4) 5/2 2/5 -5/2

Answer 1

$Given \: points \: X(2,-1) \:and \: Y(0,4)$

$Let \: X(2,-1) = (x_{1} , y_{1}) \:and$

$Y(0,4) = (x_{2} , y_{2}) \:and$

$\red{ Slope \: of \:a \:line \: that \: contains}$

$\red{the \: points \: X \: and \: Y }$

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$= \frac{ 4 - (-1) }{ 0 - 2 }$

$= \frac{ 4 + 1 }{-2}$

$= \frac{-5}{2}$

Therefore.,

$\red{ Slope \: of \: line \:XY } \green{ = \frac{-5}{2}}$

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