Question

what is the slope of a line that passes through the points (1, 3) and (7, 5) in the xy - plane? choose 1 answer: a $\frac{1}{3}$ b 2 c 3 d 6

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(7,5)$.

Step3: Substitute values into formula

$m=\frac{5 - 3}{7 - 1}=\frac{2}{6}=\frac{1}{3}$.

Answer:

A. $\frac{1}{3}$