SOLUTION: 11. Determine the relationship between the two lines. 2x - y = -10 2x + 4y = 2 A. They are parallel. B. They are perpendicular.

Algebra ->  Inequalities -> SOLUTION: 11. Determine the relationship between the two lines. 2x - y = -10 2x + 4y = 2 A. They are parallel. B. They are perpendicular.       Log On


   

Question 379619: 11. Determine the relationship between the two lines. 2x - y = -10 2x + 4y = 2



A.
They are parallel.



B.
They are perpendicular.



C.
They are neither parallel nor perpendicular.



Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Convert both equations to slope-intercept form,y=mx%2Bb and compare their slopes.
2x-y=-10
y=2x%2B10
highlight%28m%5B1%5D=2%29
.
.
2x%2B4y=2
4y=-2x%2B2
y=-%281%2F2%29x%2B1%2F2
highlight%28m%5B2%5D=-1%2F2%29
.
.
.
Parallel lines have slopes that are identical, m%5B1%5D=m%5B2%5D
Perpendicular lines have slopes that are negative reciprocals, m%5B1%5D%2Am%5B2%5D=-1
.
.
2%2A%28-1%2F2%29=-1
.
.
The lines are perpendicular.
.
.
.
graph%28300%2C300%2C-8%2C2%2C-2%2C8%2C0%2C-%281%2F2%29x%2B1%2F2%2C2x%2B10%29