What is the slope of a line going through #(9, -19)# and #(-6, -4)#?

1 Answer
smendyka
Mar 7, 2017

See the entire solution process and answer below:

Explanation:

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)(-19) - color(blue)(-4))/(color(red)(9) - color(blue)(-6)) = (color(red)(-19) + color(blue)(4))/(color(red)(9) + color(blue)(6)) = (-15)/15 = -1#

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