How do you find the slope of a line given the points $(0,4)$ and $(3,7)$ on the line?

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Answer 1 · 2017-02-01T12:53:34

See the entire solution process below:

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 gives:

$m = (color(red)(7) - color(blue)(4))/(color(red)(3) - color(blue)(0))$

$m = 3/3 = 1$

The slope is $color(red)(m = 1)$

How do you find the slope of a line given the points (0,4)(0,4) and (3,7)(3,7) on the line?