SOLUTION: I dont understand what im supposed to do for this problem: without graphing, determine if the graphs of each pair of equations are parallel, perpendicular or neither. 2y=8x+4 a

Algebra ->  Rational-functions -> SOLUTION: I dont understand what im supposed to do for this problem: without graphing, determine if the graphs of each pair of equations are parallel, perpendicular or neither. 2y=8x+4 a      Log On


   

Question 157194: I dont understand what im supposed to do for this problem:
without graphing, determine if the graphs of each pair of equations are parallel, perpendicular or neither.
2y=8x+4 and y=-1/4x
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2y=8x+4
y=8x/2+4/2
y=4x+2 This line has a slope=4. (RED LINE)
y=-1/4x This line has a slope=-1/4. (GREEN LINE)
Thus these lines are perpendicular as the slopes are negative recipricals of each other (4 & -1/4).
Proof:+graph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+4x+%2B2%2C+-x%2F4+%29+ (graph 300x300 pixels, x from -6 to 6, y from -6 to 6, of TWO functions 4x +2 and -x/4).