Question 1000419

answer is: 
D)
{({{{0}}},{{{ 0}}}), ({{{-1}}}, {{{1}}}), and ({{{1}}}, {{{-1}}})} 

check:

the equation of the line passing through points ({{{0}}},{{{ 0}}}), ({{{-1}}}) is:

 *[invoke change_this_name10094 0, 0, -1, 1] 

so, the equation of your line is {{{y=-x}}}

check now all three points and see that all of them lie on the same line:


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(0,0,.2),circle(-1,1,.12),circle(1,-1,.12),
locate(0.3,0,p(0,0)),locate(-1,1,p(-1,1)),locate(1,-1,p(1,-1)),
 graph( 600, 600, -10, 10, -10, 10, -x)) }}}