Do the lines x-3y+4=0 and 6x-18y+24=0 have a common direction vector of (3,1)? I get (3,1) but my textbook says it's (3,2)

Question

nincompoop · Answer

show your solution here

anonymous · Answer

$$y=\frac{ 1 }{ 3 }x+\frac{ 4 }{ 3 }$$
This is the equation that I got for both lines. And since $$m=\frac{ 1 }{ 3 }$$ the direction vector m=(3,1)

amistre64 · Answer

x  -3y  +4  =0 
6x -18y +24=0

line 2 is just a multiple of line 1

1/6 = 3/18 = 4/24

so yes, they have the same slope/ same direction vector:  1/3

amistre64 · Answer

your text is either misprinted, or youve got an error in the way your problem looks