How do you find the slope determined by these two slopes: (-2, 5/2) and (4, 1/2)?

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Answer 1 · 2017-01-26T21:59:30

See the entire solution process below:

To find the slope of a line using the two POINTS given in the problem use the formula for slope.

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 problem gives:

$m = (color(red)(1/2) - color(blue)(5/2))/(color(red)(4) - color(blue)(-2))$

$m = (color(red)(1/2) - color(blue)(5/2))/(color(red)(4) + color(blue)(2))$

$m = (-4/2)/6$

$m = -2/6$

$m = -1/3$