Explanation
Correct answer: A.
Choice A is correct. The line of best fit shown has a positive slope and intersects the y-axis at a positive y-value. The graph of an equation of the form , where and are constants, has a slope of and intersects the y-axis at a y-value of . Of the given choices, only represents a line that has a positive slope, , and intersects the y-axis at a positive y-value, .
Desmos solution:
Note: Enter the listed points in a Desmos table, then fit the linear regression; Desmos prints m=0.95 and b=3.4.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value.
Choice C
Choice C is incorrect. This equation represents a line that has a negative slope, not a positive slope.
Choice D
Choice D is incorrect. This equation represents a line that has a negative slope, not a positive slope, and intersects the y-axis at a negative y-value, not a positive y-value.