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The parametric equations x = x1 + (x2 − x1)t,    y = y1 + (y2 − y1)t...

The parametric equations

x = x1 + (x2x1)t,    y = y1 + (y2y1)t

where

0 ≤ t ≤ 1

describe the line segment that joins the points

P1(x1, y1)

and

P2(x2, y2).

Use a graphing device to draw the triangle with vertices A(1, 1), B(4, 3), C(1, 6). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of equations. Let x and y be in terms of t.)

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