Question

find the slope of the line passing through the points (-7, 2) and (9, 6).

Explanation:

Step1: Recall the slope formula

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

Step2: Identify the coordinates

Here, \( x_1=-7 \), \( y_1 = 2 \), \( x_2=9 \), \( y_2=6 \).

Step3: Substitute into the formula

\( m=\frac{6 - 2}{9-(-7)}=\frac{4}{9 + 7}=\frac{4}{16} \).

Step4: Simplify the fraction

\( \frac{4}{16}=\frac{1}{4} \).

Answer:

\(\frac{1}{4}\)