Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot? −0.82 −0.52 0.32 0.77

You can see a definite downward trend as variable x increases.  Were you to draw a straight line with neg. slope thru these points, trying to keep the line centered among the points, you'll find that the change in y is roughly -6 when x increases by 8.  That gives us the rough slope of -6/8, or -3/4, or -0.75.

Which of the given 2 negative slopes is closer to -0.75?