Question

if a line of best fit is drawn on the scatter plot below, what is the most likely location of the x - intercept?
a. $(0,9)$
b. $(6,0)$
c. $(7,0)$
d. $(0,7)$

Explanation:

Step1: Recall the definition of x - intercept

The x - intercept is a point \((x,0)\) where the line crosses the x - axis. So we can eliminate options A \((0,9)\) and D \((0,7)\) since they have \(y = 9\) and \(y=7\) respectively (not \(y = 0\)).

Step2: Analyze the scatter - plot

Looking at the scatter - plot, if we were to draw a line of best fit, the line would pass through or near the point \((6,0)\) rather than \((7,0)\). The data points are more concentrated around the area that would lead the line of best fit to cross the x - axis closer to \(x = 6\) than \(x=7\).

Answer:

B. \((6,0)\)