Question

The points (6,8) and (5,5) fall on a particular line.

what is the slope of the line passing through those points? show your work?

Answer 1

The slope of the line passing through these points is 3.

Explanation:

A first order function is given by the following formula:

`y = ax + b`

In which a is the slope.

In this problem, we have that:

The line passes through the point (5,5). This means that when x = 5, y = 5. So

`5a + b = 5`

`b = 5 - 5a`

The line also passes through the point (6,8). This means that when x = 6, y = 8. So:

`6a + b = 8`

`b = 5 - 5a`

So

`6a + 5 - 5a = 8`

`a = 3`

The slope of the line passing through these points is 3.