Question

find the slope of the line passing through the points (1,3) and (4, -6). select one: a. -5 b. -3 c. 3 d. $-\frac{1}{3}$

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 $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(4,-6)$. Substitute into formula:
$m=\frac{-6-3}{4-1}$

Step3: Calculate numerator and denominator

$m=\frac{-9}{3}$

Step4: Simplify the fraction

$m=-3$

Answer:

B. $-3$