Question

1. what is the slope of a line passing through the points (2,4) and (5,-2)?

-1/2
1/2
-2
2

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 point values

Let $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(5,-2)$.

Step3: Substitute into formula

$m=\frac{-2-4}{5-2}=\frac{-6}{3}$

Step4: Simplify the expression

$m=-2$

Answer:

-2