SOLUTION: How do you determine whether a pair of lines are parallel, perpendicular, or neither? ex. 5x=3y+3 -10x+6y=3

Algebra ->  Graphs -> SOLUTION: How do you determine whether a pair of lines are parallel, perpendicular, or neither? ex. 5x=3y+3 -10x+6y=3      Log On


   



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) About Me  (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