How do you find the slope given (10, 2) and (4, 7)?

1 Answer
Jun 27, 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)(7) - color(blue)(2))/(color(red)(4) - color(blue)(10)) = 5/-6 = -5/6#