Question

find the slope of the line passing through the points (-6, -5) and (4, 4).

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, \( x_1=-6 \), \( y_1 = - 5 \), \( x_2=4 \), \( y_2 = 4 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{4-(-5)}{4-(-6)}=\frac{4 + 5}{4+6}=\frac{9}{10} \).

Answer:

\(\frac{9}{10}\)