Question

1. a line passes through the points (2, -5) and (6, 3). what is the slope of the line?

a. \\(\frac{1}{2}\\)
b. -2
c. 2
d. \\(\frac{3}{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 values to variables

Let $(x_1,y_1)=(2,-5)$ and $(x_2,y_2)=(6,3)$

Step3: Substitute into formula

$m=\frac{3-(-5)}{6-2}=\frac{8}{4}$

Step4: Simplify the expression

$m=2$

Answer:

c. 2