How do you find the slope given (-6,7) (2,9)?

1 Answer
smendyka
Apr 27, 2018

See a solution process below:

Explanation:

The formula for find the slope of a line is:

#m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

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

Substituting the values from the points in the problem gives:

#m = (color(red)(9) - color(blue)(7))/(color(red)(2) - color(blue)(-6)) = (color(red)(9) - color(blue)(7))/(color(red)(2) + color(blue)(6)) = 2/8 = 1/4#

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