# Parametric line

## Homework Statement

The problem is pretty simple but I seem to be missing something essential .Write parametric equation of line which passes through point P0(1,-1,-3) and is parallel with line (x+1)/1=(y+2)/4=(z-1)/0

## Homework Equations

solutions are x=2t+1 ,y=4t-1,z=-3

## The Attempt at a Solution

I would really really appreciate if u could simply say the magic word because this looks really easy but yet troubling to my brain I think Im tired !

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Mark44
Mentor

## Homework Statement

The problem is pretty simple but I seem to be missing something essential .Write parametric equation of line which passes through point P0(1,-1,-3) and is parallel with line (x+1)/1=(y+2)/4=(z-1)/0

## Homework Equations

solutions are x=2t+1 ,y=4t-1,z=-3

## The Attempt at a Solution

I would really really appreciate if u could simply say the magic word because this looks really easy but yet troubling to my brain I think Im tired !
If you know a point on a line and a vector parallel to the line, can you get the parametric equations for the line?

You can extract the coordinates of a vector from the symmetric equations (x+1)/1=(y+2)/4=(z-1)/0; namely <1, 4, 0>.

That should get you started.

rock.freak667
Homework Helper
is parallel with line (x+1)/1=(y+2)/4=(z-1)/0
What is the direction of this line?

If you know a point on a line and a vector parallel to the line, can you get the parametric equations for the line?

You can extract the coordinates of a vector from the symmetric equations (x+1)/1=(y+2)/4=(z-1)/0; namely <1, 4, 0>.

That should get you started.
And you're Awesome !!

HallsofIvy
$$\frac{x- x_0}{A}= \frac{y- y_0}{B}= \frac{z- z_0}{C}$$
and passing through the point $(x_0, y_0, z_0)$ is of the form
$$\frac{x-x_1}{A}= \frac{y- y_1}{B}= \frac{z- z_1}{C}$$