Question 773419
{{{y=6x-12}}}

{{{x}}}   {{{-2}}}  {{{-1}}}  {{{0}}}  {{{1}}}  {{{2}}}
{{{y}}}  {{{__}}} {{{ __}}} {{{ __ }}}{{{ __}}}{{{ __}}}

plug in {{{y=6x-12}}} given values for {{{x}}} and calculate {{{y}}}


{{{y=6x-12}}}....if {{{x=-2}}}, we will have
{{{y=6(-2)-12}}}
{{{y=-12-12}}}
{{{y=-24}}}

{{{y=6x-12}}}....if {{{x=-1}}}, we will have
{{{y=6(-1)-12}}}
{{{y=-6-12}}}
{{{y=-18}}}

{{{y=6x-12}}}....if {{{x=0}}}, we will have
{{{y=6(0)-12}}}
{{{y=0-12}}}
{{{y=-12}}}

{{{y=6x-12}}}....if {{{x=1}}}, we will have
{{{y=6(1)-12}}}
{{{y=6-12}}}
{{{y=-6}}}

{{{y=6x-12}}}....if {{{x=2}}}, we will have
{{{y=6(2)-12}}}
{{{y=12-12}}}
{{{y=0}}}

now complete the table:

{{{x}}}   {{{-2}}} ... {{{-1}}} ... {{{0}}} . {{{1}}}  {{{2}}}
{{{y}}}  {{{-24}}} {{{-18}}} {{{ -12 }}}{{{ -6}}}{{{ 0}}}

as you can see from the table, if {{{x=0}}}, {{{y=-12}}}; so, {{{y-intercept}}} is {{{-12}}}

and if {{{x=2}}}, {{{y=0}}}; so, {{{x-intercept}}} is {{{2}}}

see it on a graph:

{{{ graph( 600, 600, -10, 10, -15, 10, 6x-12) }}}