Question

What is the slope of the line that passes through `(- \frac { 1} { 2} , 3) and (2,4)`?

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)(4) - color(blue)(3))/(color(red)(2) - color(blue)(-1/2)) = (color(red)(4) - color(blue)(3))/(color(red)(2) + color(blue)(1/2)) = (color(red)(4) - color(blue)(3))/(color(red)((2/2 xx 2)) + color(blue)(1/2)) = (color(red)(4) - color(blue)(3))/(color(red)(4/2) + color(blue)(1/2)) =`

`1/(5/2) => 2/5`