Question

find the slope of the line passing through the points given below or state that the slope is undefined. then indicate whether the line through the points rises,falls is horizontal or vertical. (8,6) and (9,8)

Answer 1

slope=2, therefore the line rises

Explanation:

Use the formula to find the slope of a segment through two points
`(x_1, y_1)` and
`(x_1, y_1)` on the plane:

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

we can name
`(x_1, y_1)` = (8,6)

and
`(x_2, y_2)` = (9,8)

Therefore, the slope becomes:
`slope=(y_2-y_1)/(x_2-x_1)= (8-6)/(9-8)=(2)/(1) =2`

This is therefore a positive slope, which belongs to a line that rises 2 units every one unit run.