Question

What is the slope of the line passing through the following points: `(2,8) , (1/2, 1)`?

Answer 1

See a solution process below:

Explanation:

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)(1) - color(blue)(8))/(color(red)(1/2) - color(blue)(2)) = (color(red)(1) - color(blue)(8))/(color(red)(1/2) - color(blue)(4/2)) = (-7)/(-3/2) = 7/(3/2) = 14/3`