Question

statistics
which expression can be simplified to find the slope of the trend line in the scatterplot?
\\( \frac { 8 - 4 } { 35 - 21 } \\)
\\( \frac { 8 - 4 } { 21 - 35 } \\)
\\( \frac { 21 - 35 } { 8 - 4 } \\)
\\( \frac { 35 - 21 } { 8 - 4 } \\)

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

Given the points \((4,21)\) and \((8,35)\), here \(x_1 = 4,y_1=21,x_2 = 8,y_2 = 35\).

Step3: Substitute into the formula

Substitute into the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{35 - 21}{8 - 4}\).

Answer:

\(\frac{35 - 21}{8 - 4}\) (the fourth option in the given choices)