The scatterplot shows the relationship between two variables, and . A line of best fit is also shown.
- The scatterplot has 10 data points.
- The data points are in a linear pattern trending down from left to right.
- A line of best fit is shown:
- The line of best slants down from left to right.
- 1 point is touching the line of best fit.
- 4 points are above the line of best fit.
- 5 points are below the line of best fit.
- The line of best fit passes through the following approximate coordinates:
- (2 comma 12)
- (8 comma 7)
- (13 comma 3)
Which of the following equations best represents the line of best fit shown?
Correct answer: B
Explanation
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, .
Choice A is incorrect. This equation represents a line that has a positive slope, not a negative slope.
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 is incorrect. This equation represents a line that intersects the y-axis at a negative y-value, not a positive y-value.
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