Suppose the line of best fit is being found for some data points that have an r-value of 0.553. if the standard deviation of the x-coordinates is 3.996, and the standard deviation of the y-coordinates is 6.203, what is the slope of the line to three decimal places?

The slope can be found by the use of the following formula:
m (slope) = r-value (standard deviation of the y-coordinates ÷ standard deviation of the x-coordinates)
So we will have
m = 0.553 (6.203 ÷ 3.996) ⇔ m = 0.858
The slope of the line to three decimal places is 0.858.