Explanation
Correct answer: B.
Choice B is correct. The line of best fit shown intersects the y-axis at a positive y-value and has a negative slope. The graph of an equation of the form , where and are constants, intersects the y-axis at a y-value of and has a slope of . Of the given choices, only choice B represents a line that intersects the y-axis at a positive y-value, , and has a negative slope, .
Desmos solution:
Note: The regression gives slope -0.818 and intercept 13.636, matching choice B.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This equation represents a line that has a positive slope, not a negative slope.
Choice C
Choice C is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value, and has a positive slope, not a negative slope.
Choice D
Choice D is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value.