The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown. y 20 18 16 ~ a/' ~ 14 I V 12.,,,;^('^/ 10./, 8./, 6,^/' 4 2 u X 2 4 6 8 10 12 14 Which of the following equations best represents the line of best fit shown?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
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 y mx b, where m and b are constants, has a slope of m and intersects the y-axis at a = 3+4. y-value of b. Of the given choices, only y x represents a line that has a 3.4 positive slope, 1, and intersects the y-axis at a positive y-value, . 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 is incorrect. This equation represents a line that has a negative slope, not a positive slope. 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.
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