Answer:
[tex]m = -\frac{3}{2}[/tex]
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.
[tex](x_1,y_1) =(2,1)[/tex]
[tex](x_2,y_2) =(8,-8)\\[/tex]
The slope (m) is then calculated using:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Substitute in, the x and y values
[tex]m = \frac{1 - (-8)}{2- 8}[/tex]
[tex]m = \frac{1 +8}{-6}[/tex]
[tex]m = \frac{9}{-6}[/tex]
[tex]m = -\frac{9}{6}[/tex]
Divide numerator and denominator by 3
[tex]m = -\frac{9/3}{6/3}[/tex]
[tex]m = -\frac{3}{2}[/tex]
Hence, the slope is -3/2
