The latter form 'can also be related to the two-point

Adrienne Rowe

Adrienne Rowe

Answered question

2022-02-24

The latter form 'can also be related to the two-point form, where T=ph,U=h,V=qk and W=k. How would one derive this relation — i. e.: how would one derive the parametric form of the equation for a line from the two-point form of the equation for a line?

Answer & Explanation

Pregazzix2a

Pregazzix2a

Beginner2022-02-25Added 9 answers

If the two point form is
(yy1)=y2y1x2x1(xx1)
We can write it as
yy1y2y1=xx1x2x1
Since they are equal, we set them both equal to t:
yy1=(y2y1)ty=y1+(y2y1)t
xx1=(x2x1)tx=x1+(x2x1)t
This is then the parametric form.

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