Question

Parametric problem

Answer 1

what do you know about direction vectors of parallel lines ?

Answer 2

that they two lines are parallel if their direction vectors are parallel

Answer 3

exactly! we can use the same direction vector, only the point changes

Answer 4

the equation of new line would be

x = 1 + 6t
y = -1 + 4t
z = 2 + 1t

Answer 5

Is that clear ?

Answer 6

yes
so for xy plane, the z would be 0 since we're only concentrating on xy ?

Answer 7

Correct! set z = 0 and find out the parameter t

Answer 8

z = 2 + 1t = 0
t = ?

Answer 9

t = -2

Answer 10

plug that into the equation and find out the point

Answer 11

x = 11
y = -9

Answer 12

x = -11

Answer 13

yes, i got it thank you
i did one problem, but it keep saying i am wrong, can you see it real quick please?

Answer 14

sure post it