Question

What is the slope of the line that goes through (8 8) and (4 6)

Answer 1

8-6/8-4
2/4
slope is 1/2

Answer 2

The slope of the line is:

`Slope=(1)/(2)`

Explanation:

We know that the slope of a line passing through two points:

(a,b) and (c,d) is calculated as the ratio of the change in the y-value of the two points to the change in the x-values of the two points in the same order.

It is also know as the average rate of change and is denoted by "m"

i.e.

`m=(d-b)/(c-a)\ or\ m=(b-d)/(a-c)`

Here the line pass through (8,8) and (4,6)

Hence, the slope of line is:

`m=(6-8)/(4-8)\\\\i.e.\\\\m=(-2)/(-4)\\\\i.e.\\\\m=(2)/(4)\\\\i.e.\\\\m=(1)/(2)`