SOLUTION: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion fully. 8x-2y=4 12x=10+

Question 1128885: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion fully.
8x-2y=4
12x=10+3y

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1) 8x-2y = 4
:
2) 12x = 10 +3y
:
solve equation 1 for y
:
-2y = -8x +4
:
y = 4x -2
:
solve equation 2 for y
:
3y = 12x -10
:
y = 4x -10/3
:
equation 1 and equation 2 are parallel because they have the same slope, that is, their slopes are 4
:
here is a graph of both equations, equation 1 is red and equation 2 is green
:

:

RELATED QUESTIONS
Help please: Given the following two linear equation determine whether the lines are... (answered by Alan3354)

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

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

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

determine whether the lines with equations given are parallel, perpendicular, or neither. (answered by Alan3354)

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

Showing all work, determine whether the lines given by the equations below are parallel,... (answered by unlockmath)

Showing all work, determine whether the lines given by the equations below are parallel,... (answered by rfer)

Determine whether the two equations represent lines that are parallel, perpendicular or... (answered by josgarithmetic)