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Problem-Solving and Data Analysis / Two-variable data: Models and scatterplots Difficulty: Easy

The scatterplot shows the relationship between two variables, $x$ and $y$ . A line of best fit is also shown.

Which of the following equations best represents the line of best fit shown?

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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 $y = a + b x$ , where $a$ and $b$ are constants, intersects the y-axis at a y-value of $a$ and has a slope of $b$ . Of the given choices, only choice B represents a line that intersects the y-axis at a positive y-value, $13.5$ , and has a negative slope, $negative 0.8$ .

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.