Determining equation of least-squares line without data points

Question

I am trying to determine the equation for the least-squares line graphed below only knowing that the same mean for the High School GPAs is x bar = 2.6, and the sample mean for the University GPAs is y bar = 3.05. I am unsure how to even go about this without having any data points to grab. The only part I managed to get is

intercept = 3.05-2.6*slope

Here is the image:

Thanks for any help with this. I can't even be sure this is possible to do with what I know. Thanks.

Answer 1

Just read two points off the line as best you can and use the two-point form for the line. Without a ruler, I see $(2,2.45)$ and $(4.5,3.95)$, but maybe you can be more accurate. Put a line through them and you are done.