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Problem-Solving and Data Analysis 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 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 $y = m x + b$ , where $m$ and $b$ are constants, has a slope of $m$ and intersects the y-axis at a y-value of $b$ . Of the given choices, only $y = x + 3.4$ represents a line that has a positive slope, $1$ , and intersects the y-axis at a positive y-value, $3.4$ .

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.