How do you find the slope of the line passing through the points (-6, 1) and (4, -4)?

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Answer 1 · 2016-12-13T14:19:37

The slope for this line is $m = - \frac{1}{2}$ $m = -1/2$

To find the slope of a line passing through two points you use the formula:

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

where m is the slope and the x and y variables are the points:

$(x_{1}, y_{1})$ $(x_1, y_1)$ and $(x_{2}, y_{2})$ $(x_2, y_2)$ .

Substituting the points given in the example into the formula and solving for $m$ $m$ gives the slope:

$m = \frac{- 4 - 1}{4 - - 6}$ $m = (-4 - 1)/(4 - -6)$

$m = \frac{- 5}{10}$ $m = (-5)/10$

$m = - \frac{1}{2}$ $m = -1/2$