I dont know why finding an intercept is so hard

Thanks in advance to whoever helps =)!

I am trying to find the intercept for a linear regression with 10 observations. Given:
Sxy=120 Sxx=42 Sum of x=50 Sum of y=100

I found the slope it is 2.857. I have looked at all the formulas and decided that the means are what I really need. However, I dont know how to get it from what is given. Please help.


OK you got Beta-Hat: slope it is 2.857

You're there. You did all the hard work. I assume this is simple regression, then:

The problem is that I dont have the means. All that I have is what I wrote in my first post. This is why I am so confused.