Question

Question #289d4

Answer 1

The slope, `m`, is `-13/3`.

Explanation:

To calculate the slope using two points on a line, use the following equation `m=(y_2-y_1)/(x_2-x_1)`, where `m` is the slope, `(x_1,y_1)` is one point, and `(x_2,y_2)` is the second point.

Point 1: `(color(red)(6,8)):`
`color(red)(x_1)=color(red)(6),`
`color(red)(y_1)=color(red)8`.

Point 2: `(color(green)(9,-5)):`
`color(green)(x_2)=color(green)(9),`
`color(green)(y_2)=color(green)(-5)`

`m=(y_2-y_1)/(x_2-x_1)=`

`m=(-color(green)(5)-color(red)(8))/((color(green)(9)-color(red)(6)))=-13/3`