Question 1084332

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.
{{{(1/3)x+Y=4}}}
{{{Y=-(1/3)x+ 4}}}
-> this line have  a slope  {{{-1/3}}}; so, this is not your answer
B.

{{{-(1/3)X+Y=4}}}

{{{Y=(1/3)x+ 4}}}-> this line have  a slope  {{{1/3}}}; so, this is not your answer

C.
{{{6X+2Y=4}}}...divide both sides by {{{2}}}
{{{3X+Y=2}}}
{{{highlight(Y= -3X+2)}}}-> this line have  a slope  {{{highlight(-3)}}}; so, this {{{is}}} your answer


D.
{{{-6X+2Y=4}}}

{{{-3X+Y=2}}}..divide both sides by {{{2}}}

{{{Y= 3X+2}}}-> this line have  a slope  {{{3}}}; so, this is not your answer