Question

a line contains the points (82, -96) and (87, -86). what is the slope of the line in simplified form? enter your answer in the box.

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

Let \( (x_1, y_1)=(82, - 96) \) and \( (x_2, y_2)=(87, - 86) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-86-(-96)}{87 - 82} \).
Simplify the numerator: \( -86+96 = 10 \), and the denominator: \( 87 - 82=5 \).
So \( m = \frac{10}{5}=2 \).

Answer:

2