Geometric Interpretation of Linear Regression

Linear regression is a linear approach to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). In geometric interpretation terms, the linear regression algorithm tries to find a plane or line that best fits the data points as well as possible. Linear regression is a regression technique that predicts real value. What does the term "finding plane that best fits the data points" mean? For the above-given sample 2-dimension dataset (Image 1), the general equation of the line that covers as numbers of points as possible is y m*x c, where m is the slope of the line, and c is the intercept term.