Question

statistics
which expression can be simplified to find the slope of the line of best - fit in the scatterplot shown?
\\( \frac { 134 - 16 } { 35 - 4 } \\)
\\( \frac { 134 - 35 } { 16 - 4 } \\)
\\( \frac { 4 - 16 } { 35 - 134 } \\)
\\( \frac { 4 - 16 } { 134 - 35 } \\)

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 two points

The two points given are \((4,35)\) and \((16,134)\). Let \((x_1,y_1)=(4,35)\) and \((x_2,y_2)=(16,134)\).

Step3: Substitute into the slope formula

Substitute \(x_1 = 4,y_1 = 35,x_2 = 16,y_2 = 134\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\), we get \(m=\frac{134 - 35}{16 - 4}\).

Answer:

\(\frac{134 - 35}{16 - 4}\)