Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.
Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of lone p ?
1- Lines n ans p intersect at the point (5,1)
2- The y intercept of line n is greater that the y intercept of line p
==> Since we need the slope and y - intercept for a line, we are dealing with 2 variables here. But the original question asks for 2 lines, meaning we have 4 variables to deal with and require 4 equations to match the number of variables. Since there are only 1 equations in (1) and (2) each, we need 2 more equations and E is likely the answer. It turns out that E actually is the answer.
When we solve the question directly, if n has the slope of 1/2 and p has the slope of 2, then yes is the solution, b ut if n has the slope of -2 and p has the slope of 2 then the solution is no. Therefore the answer is E.
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