Explanation
Correct answer: A.
Choice A is correct. A line of best fit for the data in a scatterplot is a line that follows the trend of the data with approximately half the data points above and half the data points below the line. Based on the given data, a line of best fit will have a positive -intercept on or near the point and a negative slope. All of the choices are in slope-intercept form , where is the slope and is the -coordinate of the -intercept. Only choice A is an equation of a line with a positive -intercept at and a negative slope, .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This equation is for a line that has a negative -intercept, not a positive -intercept.
Choice C
Choice C is incorrect and may result from one or more sign errors and from switching the values of the -intercept and the slope in the equation.
Choice D
Choice D is incorrect and may result from one or more sign errors and from switching the values of the -intercept and the slope in the equation.