How do you find the slope of the line through the points (3,7) and (6,10)?

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1 Answer
smendyka
Jan 31, 2017

See the entire 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 into the formula and calculating gives:

#m = (color(red)(10) - color(blue)(7))/(color(red)(6) - color(blue)(3)) = 3/3 = 1#

The slope of the line is #1#

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