Question

find the slope of the line passing through the given points. 6. (2,3) and (-1,-6) type a response show your work

Explanation:

Step1: Recall slope - formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Let $(x_1,y_1)=(2,3)$ and $(x_2,y_2)=(-1,-6)$.

Step2: Substitute values

Substitute $x_1 = 2,y_1 = 3,x_2=-1,y_2=-6$ into the formula:
$m=\frac{-6 - 3}{-1 - 2}=\frac{-9}{-3}=3$.

Answer:

$3$