This was already answered by heureka: https://web2.0calc.com/questions/please-help-me_118
The answer is 55
you plug it into the slope formula(https://www.cuemath.com/slope-formula/) and get 1 as your slope.
You use the AM-GM inequality which says (a_1+a_2+a_3+...+a_n)/n >= nrt(a_1*a_2*...*a_n). Here's the art of problem solving article https://artofproblemsolving.com/wiki/index.php/Arithmetic_Mean-Geometric_Mean_Inequality
IDK how to upload images but the closest point is (-2,2). Figure the distance out, it's just the Pythagorean theorem.
The correct answer is 2/3 because you get (w+2x+3y+4z)/4 >= 4rt(24wxyz) which becomes 8/4 >= 4rt(24wxyz) so you get 2^4 >= 24wxyz. This simplifies to 16/24=2/3=wxyz.