Question

pre-algebra ic sem 2 fall 2025
statistics
which expression can be simplified to find the slope of the trend line in the scatterplot?
$\frac{24 - 79}{12 + 2}$
$\frac{24 - 79}{12 - 2}$
$\frac{24 + 79}{12 + 2}$
$\frac{24 - 79}{2 - 12}$

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 \((2,79)\) and \((12,24)\). Let \((x_1,y_1)=(2,79)\) and \((x_2,y_2)=(12,24)\).

Step3: Substitute into the slope formula

Substitute \(x_1 = 2,y_1 = 79,x_2=12,y_2 = 24\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\), we get \(m=\frac{24 - 79}{12 - 2}\).

Answer:

\(\frac{24 - 79}{12 - 2}\)