Question

find the slope m of the line through the following pair of points and draw the line through the points. (2,6),(4,5) answer exactly. m =

Explanation:

Step1: Identify 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: Assign values

Let $(x_1,y_1)=(2,6)$ and $(x_2,y_2)=(4,5)$. Then $m=\frac{5 - 6}{4 - 2}$.

Step3: Calculate slope

$m=\frac{-1}{2}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$