Parametric equations and slope of a line

[little zenith]

1. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
2. Wait patiently for a helper to come along.
3. Once someone helps you, say thank you and close the thread with:

   +close
   

4. Feel free to nominate the person for helper of the week in #helper-nominations
5. Do not ping the mods, unless someone is breaking the rules.
6. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[opaque dock]

The vector equation of a line passing through points r = r1 and r = r2 is:
r = r1 + (r2 - r1)t
The parametric equation is just the vector equation written for each coordinate separately as a system.

[shrewd steeple]

Oh so I should use this formula first to get the eq?

[opaque dock]

Yes. What did you get?

[shrewd steeple]

Wait I try first

[zinc osprey]

For slope we can use the formula directly

[opaque dock]

True, but it's also good to be able to extract it from the parametric equation.

[shrewd steeple]

Is it correct?