Which equation best represents the line of best fit for the scatterplot? A) y = x + 6 B) y = 2x + 6 C) y = -x + 6 D) y = -2x + 6
It would be better here if we had an idea of what the scatter plot looked like.
Let’s look at the four options.
A) y = x + 6
B) y = 2x + 6
C) y = -x + 6
D) y = -2x + 6
They are all straight lines.
They all have the same y-intercept. They all pass through the point y = 6.
Options A and B have positive slopes, while options C and D have negative slopes.
If the y-values of the points in your scatter plot are increasing as the x-values increase, then you should consider the first two options, A and B. Otherwise consider C and D.
A close scrutiny of the points in the scatter plot should give you an idea of just how fast they are increasing, or decreasing, and whether the slope is 1 (option A) or 2 (option B).
The above comments should help you to identify the correct choice for your scatter plot.