How do you find the slope given (9,6) (21,14)?

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Mar 9, 2018

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See a solution process below:

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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)(14) - color(blue)(6))/(color(red)(21) - color(blue)(9)) = 8/12 = (4 xx 2)/(4 xx 3) = (color(red)(cancel(color(black)(4))) xx 2)/(color(red)(cancel(color(black)(4))) xx 3) = 2/3#

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