Question

what is the slope of the line that passes through the points (-6, 5) and (-3, 20)? 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 \( (x_1, y_1)=(-6, 5) \) and \( (x_2, y_2)=(-3, 20) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{20 - 5}{-3-(-6)} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( 20 - 5 = 15 \).
Simplify the denominator: \( -3-(-6)=-3 + 6 = 3 \).

Step5: Calculate slope

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

Answer:

The slope of the line is \( 5 \).