Question

PLEASE PLEASE HELP

Answer 1

Explanation

• Given two coordinate points.

$\begin{cases} (-1, 2) \\ (-4, 3) \end{cases}$

• Calculate and find the slope by using rise over run formula with two given points.

$m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}$

Substitute the coordinate points in.

$m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3}$

Hence, the value of m is - 1/3.

• Slope-intercept

$y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}$

Answer

$\large\boxed{m = - \frac{1}{3} }$