What is the slope of the line passing through the following points: #(-7, -5); (3,-8)#?

1 Answer
smendyka
Jun 17, 2017

See a solution process 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)(-8) - color(blue)(-5))/(color(red)(3) - color(blue)(-7)) = (color(red)(-8) + color(blue)(5))/(color(red)(3) + color(blue)(7)) = -3/10#

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