Which statement is true about the graphs of the two lines y=8x - 5/4 and y=1/8x+4/5? a. the lines are perpendicular to each other because –8 and 1/8 are opposite reciprocals of each other. b. the lines are perpendicular to each other because -5/4 and 4/5 are smashboy84oy114v c. the lines are neither parallel nor perpendicular to each other because –8 and 1/8 are not opposite reciprocals of each other. d. the lines are neither parallel nor perpendicular to each other because -5/4 and 4/5 are not opposite reciprocals of each other.

Let's eliminate the fractions: which statement is true about the graphs of the two lines y=8x - 5/4 and y=1/8x+4/5? 40y = 320x - 50    and    40y = 5x + 32then (solving for the slope of each equation), y = (320/40)x - 1.25 = 8x - 1.25      and      y = (1/8) + 0.8.the slopes are different (8 and 1/8).  even tho' 1/8 is the reciprocal of 8, it is not the negative reciprocal.    we conclude that the two lines are neither parallel nor perpendicular.