Answer/Step-by-step explanation:
Given two points on a line, (-4, 10) and (0, 2), the slope of the line is calculated as follows:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (-4, 10) = (x_1, y_1) [/tex]
[tex] (0, 2) = (x_2, y_2) [/tex]
Plug in the values
[tex] slope (m) = \frac{2 - 10}{0 - (-4)} [/tex]
[tex] slope (m) = \frac{-8}{4} = -2 [/tex]
Slope = -2
The wrong formula was used. Slope is supposed to be change in y over change in x. Rather the difference of each coordinates was solved and divided by each other, which makes the whole calculation wrong.
