Question

What is the slope of a line passing through (3, 6) and (4, 9)?
10
3
4
-1/2

Answer 1

3

Explanation:

The slope of a linear function is defined as:

• slope = rise / run

And for a line's points
`(x_1, y_1)` and
`(x_2, y_2)`, its slope (
`m`) is:

• 
  `m=(y_2 - y_1)/(x_2 - x_1)`

We are given a line's points (3, 6) and (4, 9), so we can assign the following variable values:

• 
  `x_1 = 3`,
  `y_1 = 6`
• 
  `x_2 = 4`,
  `y_2 = 9`

So, the line's slope is:

`m=(9-6)/(4-3)`

`\boxed{m = 3}`