Question

what is the slope of this line? (2, 6) (4, 7) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope - formula

The slope formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(2,6)$ and $(x_2,y_2)=(4,7)$.

Step3: Substitute values into formula

$m=\frac{7 - 6}{4 - 2}=\frac{1}{2}$

Answer:

$\frac{1}{2}$