Question

Find the slope of the line that goes through the given points. 
(2,3) (10,8)

Answer 1

The slope of the line is
`(5)/(8)`.

Explanation:

The slope of a line can be found by using information from two points on the line. To do so, find the distance traveled horizontally and vertically, and make a fraction where the horizontal distance is the denominator and the vertical distance is the numerator.

First, subtract the smaller of the two x values from the larger x value.

10 - 2 = 8

The line traveled 8 units horizontally.

Next, subtract the smaller of the two y values from the larger y value.

8 - 3 = 5

The line traveled 5 units vertically.

Finally, use the horizontal distance us a denominator on the vertical distance to find the slope.

`(5)/(8)`

Answer 2

The slope will be 5/8