Question

question
what is the slope of the line that passes through the points (2, 5) and (6, 13)?
-2
2
1
4

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 $(x_1,y_1)=(2,5)$ and $(x_2,y_2)=(6,13)$. Substitute into formula:
$m=\frac{13-5}{6-2}$

Step3: Calculate numerator and denominator

$m=\frac{8}{4}$

Step4: Simplify the fraction

$m=2$

Answer:

B. 2