Question

what is the slope of the line that passes through the points (2, -3) and (1, -2)? write your answer in simplest form.

Explanation:

Step1: Recall 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 coordinates

Let \( (x_1, y_1)=(2, - 3) \) and \( (x_2, y_2)=(1, - 2) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-2-(-3)}{1 - 2}=\frac{-2 + 3}{-1}=\frac{1}{-1}=-1 \).

Answer:

\(-1\)