What is the slope of the line passing through the following points: $(- 1, 5), (7, - 2)$ $( -1, 5) ,(7, -2)$ ?

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Answer 1 · 2016-01-12T14:10:12

slope = $- \frac{7}{8}$ $-7/8$

To find the slope of the line use the 'gradient formula' .

slope = m = $\frac{y_{2} - y_{1}}{x_{2} - y_{1}}$ $(y_2 - y_1) /(x_2 - y_1 )$

where $(x_{1}, y_{1}) and (x_{2}, y_{2})$ $(x_1 , y_1 ) and (x_2 , y_2 )$ are 2 coordinate points on the line.

in this question let $(x_{1}, y_{1}) = (- 1, 5), (x_{2}, y_{2}) = (7, - 2)$ $(x_1 , y_1 ) = (-1 , 5 ) , (x_2 , y_2 ) = (7 , -2 )$

substituting these values into the formula to obtain :

$m = \frac{- 2 - 5}{7 - (- 1)} = - \frac{7}{8}$ $m = ( - 2 - 5 )/(7 - (-1 )) = -7/8$

What is the slope of the line passing through the following points: ( -1, 5) ,(7, -2) (−1,5),(7,−2) ( -1, 5) ,(7, -2) ?