How do you find the slope of a line passing through the points (3, 1), (9, 4)?

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How do you find the slope of a line passing through the points (3, 1), (9, 4)?

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Answer 1 · 2016-04-09T11:26:43

The gradient of the line passing through two points can be defined by the formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m=(y_2-y_1)/(x_2-x_1)$

Were $m$ $m$ is the gradient of the line.
Therefore, let the point $(3, 1)$ $(3,1)$ = $(x_{1}, y_{1})$ $(x_1,y_1)$
and let the point $(9, 4)$ $(9,4)$ = $(x_{2}, y_{2})$ $(x_2,y_2)$

Substituting in the two points and their values we get:

$m = \frac{4 - 1}{9 - 3}$ $m=(4-1)/(9-3)$
Simplifying this, we get:

$m = \frac{3}{6}$ $m=(3)/(6)$
$m = \frac{1}{2}$ $m=(1)/(2)$

Therefore the slope of the line is $\frac{1}{2}$ $1/2$ .

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How do you find the slope of a line passing through the points (3, 1), (9, 4)?

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