For any line (L1) to intersect with another line (L2)is it compulsory for L2 to have a slope greater than L1 and Y intersept less than L1 **(Can i generalize this rule)** GRE revised General Test: Strategy 6: Problem-solving Strategies for the Quantitative Reasoning Meas

any two lines intersect as long as they are not parallel. So, as long as they dont have the same slope or they are not the same line( like 2x+y=0, 4x+2y=0 ) they will always intersect.