Question

What is the slope of the line going through `(9, 3)` and `(1, 6)`?

Answer 1

See a 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)(6) - color(blue)(3))/(color(red)(1) - color(blue)(9)) = 3/-8 = -3/8`

Answer 2

the slope is `m=3/(-8)`

Explanation:

the formula for slope when two points is `m=(y_2-y_1)/(x_2-x_1)`
substituting the points in the formula we get `m=(6-3)/(1-9)rArrm=3/-8`