Answer:
[tex] - \frac{2}{5} [/tex]
Step-by-step explanation:
[tex]Slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]
where
[tex]( x_{1}, \: y_{1}) = ( - 1,4) \: and \: ( x_{2}, y_{2}) = (14, - 2)[/tex]
Therefore, the slope of the line
[tex] = \frac{ - 2 - 4}{14 - ( - 1)} [/tex]
[tex] = \frac{ - 6}{14 + 1} [/tex]
[tex] = \frac{ - 6}{15} = - \frac{2}{5} [/tex]
[tex] = - \frac{2}{5} [/tex]
