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 = -1/2#

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

#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)# and #(x_2, y_2)#.

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

#m = (-4 - 1)/(4 - -6)#

#m = (-5)/10#

#m = -1/2#