Question

What is the slope of the line that passes through the points (10, 4) and

(7, 3)? Write your answer in simplest form.

Answer 1

Answer: 1/3

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Work Shown:

`(x_1,y_1) = (10,4) \text{ and } (x_2,y_2) = (7,3)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (3 - 4)/(7 - 10)\\\\m = (-1)/(-3)\\\\m = (1)/(3)\\\\`

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Extra info:

A slope of 1/3 means "go up 1, then to the right 3"

Think of it like this

slope = rise/run = 1/3

rise = 1 = go up 1

run = 3 = go to the right 3