Question

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

Answer 1

See the entire solution process below:

Explanation:

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`