SOLUTION: determine whether the lines l1 and l2 are parallel, perpendicular, or neither. l1: y=4x-2 l2: y=1/4x+6 thank you!

Algebra ->  Linear-equations -> SOLUTION: determine whether the lines l1 and l2 are parallel, perpendicular, or neither. l1: y=4x-2 l2: y=1/4x+6 thank you!      Log On


   

Question 1127072: determine whether the lines l1 and l2 are parallel, perpendicular, or neither.

l1: y=4x-2
l2: y=1/4x+6

thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall: y=mx%2Bb is slope-intercept form of the equation of the line where m is a slope and b is y-intercept
- two lines are parallel if they have same slopes
- two lines are perpendicular if they have slopes negative+ reciprocal to each other

l1: y=4x-2=> slope is m=4
l2: y=1%2F4x%2B6=> slope is m=1%2F4, -> 1%2F4 is reciprocal of 4, BUT 1%2F4 is NOT negative+
so,
line l1 has slope m=4, line l2 1%2F4
since 4%3C%3E1%2F4, lines are NOT parallel

1%2F4 is is NOT negative+ reciprocal of 4, lines are NOT perpendicular

your answer is: neither
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4x-2%2C+%281%2F4%29x%2B6%29+