使用线性编程找到“最佳拟合线”

This is a homework question. I'm asked to find the coefficients of the line of best fit for a given set of n dots(2D). The coefficients are a b c in: ax+by=c.Say there're n dots, use linear programming to find the coefficients that leads to the smallest 'maximum absolute error', defined as: max(|a*xi+b*yi-c|), i ranges from 1-n. This is a homework question. I'm asked to find