Question 720973
Which of the ordered pairs
(0, 0), (-2, 10), (-1, -5), (-3, 9)

are solutions for the equation

         {{{y = 5 x }}}

plug in (x, y)=(0, 0)


         {{{0 = 5 *0 }}}


         {{{highlight(0= 0) }}}....left side is equal to right side, so the ordered pair (0, 0) {{{highlight(is)}}} a solution for the equation


plug in (x, y)=(-2, 10)


         {{{10 = 5 *(-2) }}}


         {{{10= -10 }}}....left side is {{{not}}} equal to right side, so the ordered pair (-2, 10) {{{is}}}  {{{not}}}  a solution for the equation


plug in (x, y)=(-1, -5)


         {{{-5 = 5 *(-1) }}}


         {{{highlight(-5= -5) }}}....left side is  equal to right side, so the ordered pair (-1, -5) {{{highlight(is)}}}  a solution for the equation



plug in (x, y)=(-3, 9)


         {{{9 = 5 *(-3) }}}


         {{{9= -15 }}}....left side is {{{not}}} equal to right side, so the ordered pair (-3, 9) {{{is}}} {{{not}}}  a solution for the equation


let's see it on a graph:

{{{drawing(600,600,-15,15,-15,15,grid(0),locate(-2.9,-4.2-.2,"(-1,-5)"),locate(-3,10-.2,"(-2,10)"),locate(-3,9-.2,"(-3,9)"),circle(-2,10,0.2),circle(-1,-5,0.2),circle(-3,9,0.2),circle(0,0,0.2),graph(600,600,-15,15,-15,15,0,5x))}}}