Question

find the slope of the line passing through the points (6, -3) and (3, -5).

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 values to variables

Let $(x_1,y_1)=(6,-3)$ and $(x_2,y_2)=(3,-5)$. Substitute into formula:
$m=\frac{-5-(-3)}{3-6}$

Step3: Simplify numerator and denominator

$m=\frac{-5+3}{-3}=\frac{-2}{-3}$

Step4: Simplify the fraction

$m=\frac{2}{3}$

Answer:

$\frac{2}{3}$