Question

How do you find the slope given (1/2,-3) and (3,-1/2)?

Answer 1

See the entire 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)(-1/2) - color(blue)(-3))/(color(red)(3) - color(blue)(1/2))`

`m = (color(red)(-1/2) + color(blue)(3))/(color(red)(3) - color(blue)(1/2)) = (color(red)(-1/2) + color(blue)(6/2))/(color(red)(6/2) - color(blue)(1/2)) = (5/2)/(5/2) = 1`