What is the slope of the line passing through the following points: $(- 2, - 7), (- 7, 0)$ $(-2,-7) , (-7,0)$ ?

Question

1682 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-10T22:01:10

$- \frac{7}{5}$ $-7/5$

to calculate the slope of a line (m) use the gradient formula :

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m =( y_2 - y_1)/(x_2 - x_1)$

in this question let $(x_{1}, y_{1}) = (- 2, - 7) (x_{2}, y_{2}) = (- 7, 0)$ $(x_1 , y_1) =(- 2 ,- 7 ) (x_2 , y_2) = ( -7 , 0 )$

substitute these values into the formula as follows :

$m = \frac{0 - (- 7)}{(- 7) - (- 2)} = \frac{7}{- 5}$ $m =( 0 -(- 7))/((- 7) - (- 2)) = 7/-5$

$\Rightarrow m = s l o p e = - \frac{7}{5}$ $rArr m = slope = -7/5$

What is the slope of the line passing through the following points: (-2,-7) , (-7,0) (−2,−7),(−7,0)(-2,-7) , (-7,0) ?