SOLUTION: Determine whether the lines are parallel, perpendicular, or neither. 2x-y=-10 2x+4y=2

Algebra ->  Functions -> SOLUTION: Determine whether the lines are parallel, perpendicular, or neither. 2x-y=-10 2x+4y=2       Log On


   

Question 771623: Determine whether the lines are parallel, perpendicular, or neither.
2x-y=-10
2x+4y=2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2x-y=-10
2x%2B4y=2
first write them in slope-intercept form y=mx%2Bb
if they have same slope m, lines are parallel
2x-y=-10
2x%2B10=y => slope is m=2
2x%2B4y=2
4y=-2x%2B2
y=-2x%2F4%2B2%2F4
y=-%281%2F2%29x%2B1%2F2 => slope is m%5B1%5D=-1%2F2

since m=2 is not equal to m%5B1%5D=-1%2F2, lines are not parallel
if they have slopes negative reciprocal of each other or m%5B1%5D=-1%2Fm, lines are perpendicular
since m%5B1%5D=-1%2F2 is negative reciprocal of m=2,lines are perpendicular

+graph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C2x%2B10%2C-%281%2F2%29x%2B1%2F2%29+