Question

What is the slope of the line passing through the following points: `(11.40,3.42); (1.16,4.09)`?

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)(4.09) - color(blue)(3.42))/(color(red)(1.16) - color(blue)(11.40)) = 0.67/-10.24 = -0.67/10.24 xx 10/10 = -67/1024`