Answer:
Lines are parallel.
Step-by-step explanation:
The given lines are [tex]y=3x+4,\ 9x-3y=6[/tex]
Rearrange the equation in the slope intercept form that is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope.
First Line:
[tex]y=3x+4[/tex]
compare it with [tex]y=mx+b[/tex]
slope ([tex]m_{1}[/tex]) of first line [tex]=3[/tex]
Second Line:
[tex]9x-3y=6\\9x-6=3y\\3y=9x-6[/tex]
divide both by [tex]3[/tex]
[tex]y=3x-3[/tex]
compare it with [tex]y=mx+b[/tex]
slope [tex](m_{2})[/tex] of second line [tex]=3[/tex]
Since slope of two lines are equal
[tex]m_{1}=m_{2}=3[/tex]
hence these lines are parallel.
