SOLUTION: How do you determine whether a pair of lines are parallel, perpendicular, or neither?
ex.
5x=3y+3
-10x+6y=3
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Question 510207: How do you determine whether a pair of lines are parallel, perpendicular, or neither?
ex.
5x=3y+3
-10x+6y=3
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
these lines are parallel because they have the same slope
solving the equations for y, puts the lines into slope-intercept form (y = mx + b)
___ m is the slope of the line and b is the y-intercept (where the line crosses the y-axis)
5x=3y+3 ___ y = (5/3)x - 1
-10x+6y=3 ___ y = (5/3)x + (1/2)
if the slopes were negative-reciprocals of each other, the lines would be perpendicular
anything else would be neither
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