# How do I know this point lies on the line in the plane?

1. Sep 26, 2014

### shreddinglicks

1. The problem statement, all variables and given/known data
This is the point:

(6,0,-2)

2. Relevant equations
x = 4-2t
y = 3+5t
z = 7+4t

3. The attempt at a solution

Do I just plug in the points and see if I get matching values of t? If not, how do I go about this?

2. Sep 26, 2014

### Ray Vickson

What is stopping you from just going ahead and trying it out for yourself?

3. Sep 26, 2014

### shreddinglicks

I did try it. I'm asking if this is the right way to do this. I do not have any answers for this problem. Can you please tell me if that is the right way to do this?

4. Sep 26, 2014

### ehild

It is the right way to see if the given point lies on the line. What is your answer?

ehild

5. Sep 26, 2014

### shreddinglicks

I do not get matching values of t.

t = -1, -3/5, -9/4

Last edited: Sep 26, 2014
6. Sep 26, 2014

### shreddinglicks

So the point does not lie on the line?

7. Sep 26, 2014

### ehild

It does not.

ehild

8. Sep 27, 2014

Thanks!