Question

calculate slope between the two points and enter answer in blue box below. (-18, 2), (-13, 17)

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 \( (x_1, y_1)=(-18, 2) \) and \( (x_2, y_2)=(-13, 17) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{17 - 2}{-13 - (-18)} \).

Step4: Simplify numerator and denominator

Simplify numerator: \( 17 - 2 = 15 \).
Simplify denominator: \( -13 - (-18)=-13 + 18 = 5 \).

Step5: Calculate slope

Now, \( m=\frac{15}{5}=3 \).

Answer:

3