Question

what is the slope of the line that passes through the points (3, -3) and (18, -3)? 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 \( (x_1, y_1)=(3, - 3) \) and \( (x_2, y_2)=(18, - 3) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-3-(-3)}{18 - 3} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( -3-(-3)=-3 + 3=0 \).
Simplify the denominator: \( 18 - 3 = 15 \).
So \( m=\frac{0}{15}=0 \).

Answer:

\( 0 \)