What is the slope of the line passing through the following points: $(3, 5), (2, 1)$ $( 3,5 ) , ( 2,1 )$ ?

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Answer 1 · 2018-03-25T02:19:27

See a solution process below:

The formula for find the slope of a line is:

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

Where $(x_{1}, y_{1})$ $(color(blue)(x_1), color(blue)(y_1))$ and $(x_{2}, y_{2})$ $(color(red)(x_2), color(red)(y_2))$ are two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{1 - 5}{2 - 3} = \frac{- 4}{- 1} = 4$ $m = (color(red)(1) - color(blue)(5))/(color(red)(2) - color(blue)(3)) = (-4)/-1 = 4$

What is the slope of the line passing through the following points: ( 3,5 ) , ( 2,1 ) (3,5),(2,1) ( 3,5 ) , ( 2,1 ) ?