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+

Algebra ->  Linear-equations -> 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+      Log On


   



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) About Me  (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
:
+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+4x-2%2C+4x+-%2810%2F3%29%29+
: