sat suite question viewer
The scatterplot shows the relationship between two variables, and . A line of best fit is also shown.
Which of the following equations best represents the line of best fit shown?
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 , 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, .
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.