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What is the slope of the line that goes through the points (-1,4) and (14,-2)?

Sagot :

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]