SOLUTION: parallel, perpendicular, or neither
-3x-18y=6
6x-y=14
Algebra.Com
Question 180540: parallel, perpendicular, or neither
-3x-18y=6
6x-y=14
Found 2 solutions by Mathtut, mgmoeab:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
re write these in slope intercept form y=mx+b
:
-18y=3x+6--->y=(-1/6)x-(1/3)........eq 1
:
-y=-6x+14--->y=6x-14................eq 2
:
The slope in eq 1 is -1/6 and the slope in eq 2 is 6. These are negative recipricals of each other therefore these are
:
perpendicular lines
Answer by mgmoeab(37) (Show Source): You can put this solution on YOUR website!
You can solve this problem by solving the equations, and takinf them to the slope-intercept form and compare their slopes.
if you solve -3x-18y = 6 for Y, then you get m = (-1/6)
(a). y = (-1/6)x-(1/3)
if you solve 6x-y = 14 for Y, then you get m = (6)
(b). y = (6)x - 14
The relationship between both slopes is that if you multiply them, then you will get -1.
This tells you that the lines are perpendicular.
RELATED QUESTIONS
Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither. (answered by lynnlo,josmiceli)
Are the following lines parallel, perpendicular, or neither?
x-6y=12
6x+y=6 (answered by oscargut)
y=-1/6x-2
12x-2y=-14
would this be parallel,perpendicular or... (answered by Fombitz)
is 3x+2y=-5
y=2/3x+6
parallel, perpendicular, or... (answered by stanbon)
Is y=3x-2 parallel, perpendicular or neither?... (answered by richwmiller)
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)
Are these sets of lines parallel, perpendicular, or neither.
3x+y=5
-x+3y=6
(answered by Mathtut)
Determine whether the lines are parallel, perpendicular, or neither.
3x-5y=6... (answered by richwmiller)