Question: The parametric equations x = x 1 + ( x 2 x 1 ) t , y = y 1 + ( y 2 y

The parametric equations

x=x₁+ (x₂x₁)t,y=y₁+ (y₂y₁)t

where0t1

describe the line segment that joins the pointsP₁(x₁,y₁)

andP₂(x₂,y₂).

Draw the triangle with verticesA(1, 1),B(5,3),C(1,7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of equations. Letxandybe in terms oft.)

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