Write the parametric equation of the line

[Whiz]

Homework Statement

Given a + b + c = 7, find a, b and c such that the point (a,b,c) lies on the line passing through the points (3,-4,0) and (2,-2,3)

a =
b =
c =

Homework Equations

None

The Attempt at a Solution

My instructor didn't go through this portion and I was wondering if I could get a little help.
The way I understand the question is that there is a point between (3,-4,0) and (2,-2,3), such that they equal 7. I'm not sure how to go about this question.

Any hints?

Thanks in advance.

 

[rock.freak667]

If you meant ax+by+cz=7 and you want to find a,b,c such that (3,-4,0) and (2,-2,3) lie on this plane, then what would happen if you substituted a point (x₀,y₀,z₀) which lies on the plane, into the equation of the plane?

 

[Whiz]

If you meant ax+by+cz=7 and you want to find a,b,c such that (3,-4,0) and (2,-2,3) lie on this plane, then what would happen if you substituted a point (x₀,y₀,z₀) which lies on the plane, into the equation of the plane?

Hmm but I typed the question exactly the way it is.

And I'm not sure what you mean by substituting (x₀,y₀,z₀)
into the equation of the plane.

 

[LCKurtz]

Write the parametric equation of the line, so you have expressions for x, y, and z in terms of t. Then set x + y + z = 7, figure out t and hence the required point.