Question

find the slope of the line that passes through the following points: (0, -2) (6, 1)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( (x_1, y_1)=(0, - 2) \) and \( (x_2, y_2)=(6,1) \).

Step2: Substitute values into formula

Substitute \( x_1 = 0,y_1=-2,x_2 = 6,y_2 = 1 \) into the slope formula:
\( m=\frac{1-(-2)}{6 - 0}=\frac{1 + 2}{6}=\frac{3}{6} \)

Step3: Simplify the fraction

Simplify \( \frac{3}{6} \) to get \( \frac{1}{2} \).

Answer:

\( \frac{1}{2} \)