Explanation
- Given two coordinate points.
[tex] \begin{cases} (-1, 2) \\ (-4, 3) \end{cases}[/tex]
- Calculate and find the slope by using rise over run formula with two given points.
[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinate points in.
[tex]m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3} [/tex]
Hence, the value of m is - 1/3.
[tex]y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}[/tex]
Answer
[tex] \large\boxed{m = - \frac{1}{3} }[/tex]
