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