How do you find the slope of a line given the points $(2,2)$ and $(5,8)$ on the line?

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Answer 1 · 2017-05-24T12:13:50

$m = 6/3 =2$

Slope means the steepness or gradient of a line.

It can be described as the $" "("change in the y-values")/("change in the x-values")$

which is sometimes explained as $("rise")/("run")$

The formula is $m = (y_2-y_1)/(x_2-x_1)$

The points are $(2,2)"$ as $(x_1,y_1)" and " (5,8)$ as $(x_2,y_2)$

$m = (8-2)/(5-2) = 6/3 = 2$

Answer 2 · 2017-05-24T12:19:39

$m=2$

The slope formula determines a slope from two points.

It says that given two points $(x_1,y_1)$ and $(x_2,y_2)$ , you find the slope from:

$m=(y_2-y_1)/(x_2-x_1)$

If we let $(2,2)=(x_1,y_1)$ and $(5,8)=(x_2,y_2)$ , then we can plug these values into the slope formula.

Note that it does not matter which of the two points you decide to be the "first" or the "second".

$m=(8-2)/(5-2)=6/3=2$

How do you find the slope of a line given the points (2,2)(2,2) and (5,8)(5,8) on the line?