# SOLUTION: determine which two equations represent parallel lines y=5/8x+3 y=-8/5x-8 y=3x+11 y=3x-3

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 Click here to see ALL problems on Quadratic Equations Question 82103: determine which two equations represent parallel lines y=5/8x+3 y=-8/5x-8 y=3x+11 y=3x-3Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` determine which two equations represent parallel lines y=5/8x+3 y=-8/5x-8 y=3x+11 y=3x-3 Each of those equations is in the slope-intercept form: y = mx + b where m represents the slope and (0,b) is the y-intercept. Lines are parallel when and only when they have the same slope. The slope is m, the coefficient of x. Only the last two, y = 3x + 11 and y = 3x - 3 have the same coefficient of x, or value of m, namely 3, and this is their slope. So they are the only ones which are parallel. Incidentally, the first two are perpendicular because they have slopes which are negative reciprocals of each other, that is, 5/8 and -8/5 Edwin```