Using the results below, find a set of parameteric equations for the line/conic

Question

Line: passes through (3, 1) and (-2, 6)

Answer 1

It seems you are supposed to do something like this:

1) In terms of x and y write the equation of the line passing through the given points.

a) determine the slope: -1

b) using point slope: y - 1 = -1 (x - 3) => y = -x + 4

2) Come up with some parametric equations (defining x and y in terms of t). There are infinitely many possibilities. Here is one:

Let x = t, then y = -t + 4.

Or another:

Let x = t + 2, then y = -t + 2.

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