Question

a scatter plot with a line of best fit is shown. what are the slope and the y - intercept of the line of best fit? m = - 14.49 and (0, 150) m = - 14.49 and (150, 0) m = 14.49 and (0, 150) m = 14.49 and (150, 0)

Explanation:

Step1: Determine slope sign

The line of best - fit is decreasing from left to right, so the slope \(m\) is negative.

Step2: Estimate y - intercept

The line of best - fit crosses the y - axis above \(y = 100\) and below \(y = 200\). A reasonable estimate for the y - intercept (the point where \(x = 0\)) is \((0,150)\).

Step3: Analyze slope value

By observing the change in \(y\) for a change in \(x\), we can estimate the slope. If we consider two points on the line, say \((0,150)\) and \((10,5)\) (approximate points on the line), the slope \(m=\frac{\Delta y}{\Delta x}=\frac{5 - 150}{10-0}=\frac{- 145}{10}=-14.5\approx - 14.49\)

Answer:

A. \(m=-14.49\) and \((0,150)\)