![m = -\frac{3}{2}](/tpl/images/1007/6606/a3927.png)
Step-by-step explanation:
Given
x 2 4 6 8
y 1 -2 -5 -8
Required
Determine the slope
First, pick any two corresponding x and y values.
![(x_1,y_1) =(2,1)](/tpl/images/1007/6606/5b4bc.png)
![(x_2,y_2) =(8,-8)\\](/tpl/images/1007/6606/23557.png)
The slope (m) is then calculated using:
![m = \frac{y_1 - y_2}{x_1 - x_2}](/tpl/images/1007/6606/83c95.png)
Substitute in, the x and y values
![m = \frac{1 - (-8)}{2- 8}](/tpl/images/1007/6606/7dea1.png)
![m = \frac{1 +8}{-6}](/tpl/images/1007/6606/98585.png)
![m = \frac{9}{-6}](/tpl/images/1007/6606/55994.png)
![m = -\frac{9}{6}](/tpl/images/1007/6606/18628.png)
Divide numerator and denominator by 3
![m = -\frac{9/3}{6/3}](/tpl/images/1007/6606/ca8c0.png)
![m = -\frac{3}{2}](/tpl/images/1007/6606/a3927.png)
Hence, the slope is -3/2