SOLUTION: which equation represents a line that is parallel to the line whose equation is y=-3x a.1/3x+Y=4 B.-1/3X+Y=4 C.6X+2Y=4 D.-6X+2Y=4

Algebra ->  Formulas -> SOLUTION: which equation represents a line that is parallel to the line whose equation is y=-3x a.1/3x+Y=4 B.-1/3X+Y=4 C.6X+2Y=4 D.-6X+2Y=4      Log On


   

Question 1084332: which equation represents a line that is parallel to the line whose equation is y=-3x
a.1/3x+Y=4
B.-1/3X+Y=4
C.6X+2Y=4
D.-6X+2Y=4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

which equation represents a line that is parallel to the line whose equation is y=-3x
as you can see, the line y=-3x has a slope -3
by definition, parallel lines have same slope
so, look for a line that has a slope -3:
a.
%281%2F3%29x%2BY=4
Y=-%281%2F3%29x%2B+4
-> this line have a slope -1%2F3; so, this is not your answer
B.
-%281%2F3%29X%2BY=4
Y=%281%2F3%29x%2B+4-> this line have a slope 1%2F3; so, this is not your answer
C.
6X%2B2Y=4...divide both sides by 2
3X%2BY=2
highlight%28Y=+-3X%2B2%29-> this line have a slope highlight%28-3%29; so, this is your answer

D.
-6X%2B2Y=4
-3X%2BY=2..divide both sides by 2
Y=+3X%2B2-> this line have a slope 3; so, this is not your answer