Question

graphs and functions
finding slope given two points on a line
find the slope of the line passing through the points (-3, -8) and (5, 6).

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: Identify coordinates

Here, \( x_1 = -3 \), \( y_1 = -8 \), \( x_2 = 5 \), \( y_2 = 6 \).

Step3: Substitute into formula

\( m = \frac{6 - (-8)}{5 - (-3)} = \frac{6 + 8}{5 + 3} = \frac{14}{8} \).

Step4: Simplify fraction

\( \frac{14}{8} = \frac{7}{4} \).

Answer:

\(\frac{7}{4}\)