Question 1180913


Which equation represents a line which is parallel to the line {{{y=-2x-4}}}?

this line  {{{y=-2x-4}}} has a slope {{{-2}}}

recall: parallel lines have {{{same }}}slope, so write all equations in slope intercept form


a.
{{{y−2x=3}}}=>{{{y=2x+3}}}=>slope is {{{2}}}=> it's not parallel line to given line

b.
{{{x−2y=−4}}}=>{{{x+4=2y}}}=>{{{y=x/2+2}}}=>slope is {{{1/2}}}=> it's not parallel line to given line

c.
{{{x+2y=16}}}=>{{{2y=-x+16}}}=>{{{y=-x/2+8}}}=>slope is {{{-1/2}}}=> it's not parallel line to given line

d.

{{{2x+y=7}}}=>{{{y=-2x+7}}}=>slope is {{{-2}}}=> it {{{IS}}} parallel line to given line


answer: d


{{{ graph( 600, 600, -10, 10, -10, 10,-2x-4, -2x+7) }}}