Question

find the slope of the line passing through the points (-4, 3) and (-7, 6).

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Assign point values

Let $(x_1,y_1)=(-4,3)$ and $(x_2,y_2)=(-7,6)$.

Step3: Substitute into formula

$m=\frac{6-3}{-7-(-4)}=\frac{3}{-7+4}$

Step4: Simplify the expression

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

Answer:

$-1$