Question

what is the slope of the line that passes through the points (4,1) and (0, -19)? write your answer in si

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through 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 \( (x_1, y_1)=(4, 1) \) and \( (x_2, y_2)=(0, - 19) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-19 - 1}{0 - 4}=\frac{-20}{-4} \).

Step4: Simplify the fraction

Simplify \( \frac{-20}{-4}=5 \).

Answer:

5