what is the slope of the line that goes through (8 8) and (4 6)
The slope of the line is:
\(Slope=\dfrac{1}{2}\)
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.
\(m=\dfrac{d-b}{c-a}\ or\ m=\dfrac{b-d}{a-c}\)
Here the line pass through (8,8) and (4,6)
Hence, the slope of line is:
\(m=\dfrac{6-8}{4-8}\\\\i.e.\\\\m=\dfrac{-2}{-4}\\\\i.e.\\\\m=\dfrac{2}{4}\\\\i.e.\\\\m=\dfrac{1}{2}\)