Question

How do you find the slope of the line through (0, 5) and (5, 5)?

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)(5) - color(blue)(5))/(color(red)(5) - color(blue)(0))`

`m = 0/5 = 0`

The slope of this line is `0`.

Also, because both points have the same `y` value we know this is a horizontal line and a horizontal line by definition has a slope of `m = 0`