Answer:
[tex]m = -1[/tex]
Step-by-step explanation:
Given
Points (2,3) and (-3,8)
Required
Determine the gradient
Gradient (m) is calculated by dividing the change in y values by the change in x values.
i.e.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (-3,8)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{8 - 3}{-3 -2}[/tex]
[tex]m = \frac{5}{-5}[/tex]
[tex]m = -1[/tex]
Hence, the gradient is -1
