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

Question

The sterplot 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?

Accepted Answer

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.

Question the-st