Question 970918
if you have two equations of the line, to sketch a graph you need two points
{{{y=2x-4}}}
make a table:

{{{x}}}|{{{y}}}

{{{0}}}|{{{-4}}}...{{{y=2*0-4}}}=>{{{y=-4}}}
{{{2}}}|{{{0}}}...{{{0=2x-4}}}=>{{{2x=4}}}=>{{{x=2}}}

plot points and draw a line through

{{{drawing( 600, 600, -10, 10, -10, 10,
circle(0,-4,.12),circle(2,0,.12),locate(0.2,-4,p(0,-4)),locate(2,-0.3,p(2,0)),
 graph( 600, 600, -10, 10, -10, 10, 2x-4)) }}}

do same with

{{{y=6x+4}}}

{{{x}}}|{{{y}}}

{{{0}}}|{{{4}}}...{{{y=6*0+4}}}=>{{{y=4}}}
{{{-2/3}}}|{{{0}}}...{{{0=6x+4}}}=>{{{6x=-4}}}=>{{{x=-4/6}}}=>{{{x=-2/3}}}


plot points and draw a line through

{{{drawing( 600, 600, -10, 10, -10, 10,
circle(0,4,.12),circle(-2/3,0,.12),locate(0.2,4,p(0,4)),locate(-2/3,-0.3,p(-2/3,0)),
 graph( 600, 600, -10, 10, -10, 10, 6x+4)) }}}



but, if you are given a system to solve, then you need to do it this way:

{{{y=2x-4}}}
{{{y=6x+4}}}
------------------write in standard form first


{{{-2x+y=-4}}}
{{{-6x+y=4}}}

*[invoke solve_by_graphing -2, 1, -4, -6, 1, 4]