SOLUTION: Determine whether the given linear equations are parallel, perpendicular, or neither. y = - 5x - 8 y = 5x +11 Please show steps. Thank you.

Question 755091: Determine whether the given linear equations are parallel, perpendicular, or neither.
y = - 5x - 8
y = 5x +11
Please show steps. Thank you.
Answer by pragya.ban@gmail.com(32) (Show Source): You can put this solution on YOUR website!
Determine whether the given linear equations are parallel, perpendicular, or neither.
1) y = - 5x - 8
2) y = 5x +11

First of equations are parallel to one another if they share the same slope. (ex: y= 2x+3 and y= 2x+4) Equations are perpendicular if they are a negative reciprocal of each other. (ex: y= 3x+9 and y= -1/3x+5) A way to see if two equations are perpendicular is to multiply the slopes and if they equal to -1 then they are perpendicular.

For equation number 1, the slope is -5x, and for equation number 2 the slope is 5x. Based on what we just described above, the two slopes are not the same (-5 is not equal to 5) and they are not negative reciprocals of each other either (-5*5 does not equal to -1).

Therefore these two linear equations are neither parallel nor perpendicular.
RELATED QUESTIONS
Help please: Given the following two linear equation determine whether the lines are... (answered by Alan3354)

Determine whether the lines are parallel, perpendicular, or neither. 3x-5y=6... (answered by richwmiller)

determine whether the following lines are parallel, perpendicular, or neither: x-5y=15 (answered by Algebraic)

determine whether the graphs of each pair of equations are parallel, perpendicular, or... (answered by texttutoring)

1.Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or... (answered by Alan3354,stanbon)

Determine whether the given linear equations are parallel, perpendicular, or neither. (answered by Cromlix,FrankM)

Given the following two linear equations, determine whether the lines are parallel,... (answered by KMST)

Determine if the given equations are parallel, perpendicular, or neither. y = 8 and x =... (answered by josgarithmetic)

determine if the lines are parallel, perpendicular or neither. y=5x-2 and... (answered by mananth)