Question

finding the slope of a trend line
passing statistics
the scatterplot shows how many pass attempts and yards a quarterback has in different football games. notice that the line passes through the second point from the left, (24, 127) and the farthest point on the right (36, 163).
what is the slope of the trend line?

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

Step2: Identify the points

We are given the points \((x_1,y_1)=(24,127)\) and \((x_2,y_2)=(36,163)\).

Step3: Substitute into the formula

Substitute the values into the slope formula:
\(m=\frac{163 - 127}{36 - 24}\)
\(m=\frac{36}{12}\)

Step4: Simplify the fraction

Simplify \(\frac{36}{12}\) to get \(m = 3\).

Answer:

\(3\)