Question

How do you find the slope of the line that passes through the points (1,1), (3,1)?

Answer 1

See explanation below:

Explanation:

Given two points, 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 points from the problem gives:

`m = (color(red)(1) - color(blue)(1))/(color(red)(3) - color(blue)(1))`

`m = 0/2`

`m = 0`

Also, because the `y` value is one for both points we know this line is a horizontal line and all horizontal lines have a slope of `0`.