Question

Given two points (4,5) and (-1, 2): a) Find the slope of the line passing through the points b) the distance between the points

Answer 1

The slope is
`(3)/(5)`

The distance between the two points is
`√(13)` or 5.83 rounded to two places.

Explanation:

Slope:

Change in y over the change in x. You find the change by subtraction.

Thy y values are 2 and 5 form the points (4,5) and (-1,2).

The x values are -1 and 4 form the points (4,5) and (-1,2)

`(2-5)/(-1-4)` =
`(-3)/(-5)` =
`(3)/(5)`

The slope is
`(3)/(5)`.

Helping in the name of Jesus.