Your question is OLS Estimator Derivation. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
Derive the ordinary least squares (OLS) estimator for simple linear regression.
Show the derivation for the intercept and slope by minimizing the residual sum of squares. State the assumptions required for unbiasedness and explain how the estimator can be written in centered-sum and matrix form.