Question

1. find the slope of a line containing the two points (-5, -6) and (8, 7).

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through 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, \( x_1=-5,y_1 = - 6,x_2 = 8,y_2=7 \).

Step2: Substitute the values into the formula

Substitute the values into the formula: \( m=\frac{7-(-6)}{8-(-5)} \).
Simplify the numerator and the denominator: \( 7-(-6)=7 + 6=13 \) and \( 8-(-5)=8 + 5 = 13 \).
So, \( m=\frac{13}{13}=1 \).

Answer:

\( 1 \)