Question

(a) Show that the parametric equations x = x1 + (x2 − x1)t,    y = y1 +...

(a) Show that the parametric equations

x = x1 + (x2 − x1)t,    y = y1 + (y2 − y1)t

where

0 ≤ t ≤ 1,

describe (in words) the line segment that joins the points

P1(x1, y1)

and

P2(x2, y2).



(b) Find parametric equations to represent the line segment from

(−1, 6) to (1, −2).

(Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.)

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