So the best way to solve is to come up with two slopes, I'd prefer 2 perpendicular slopes because perpendicular lines only cross once hence one solution guaranteed
so say we choose a slopeA = 2 and slopeB = -1/2, the slopes are perpendicular only if when you multiply them you get -1
then we use the slope intercept form of an equation y = mx + b
we make up two equations y = -2x + b and y = -1/2x + b , now we can just make up number for b so the two equations are