Explanation
Correct answer: D.
Choice D is correct. A line in the xy-plane that passes through the points and has a slope of . The line of best fit shown passes approximately through the points and . It follows that the slope of this best fit line is approximately , which is equivalent to , or approximately . Therefore, of the given choices, is closest to the slope of the line of best fit shown.
Desmos solution:
Note: The slope is calculated as rise over run using two points on the line of best fit.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.