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

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Answer 1 · 2017-01-30T14:53:29

The slope is #m = 2#

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(5) - color(blue)(-1))/(color(red)(2) - color(blue)(-1))#

#m = (color(red)(5) + color(blue)(1))/(color(red)(2) + color(blue)(1))#

#m = 6/3#

#m = 2#