# Parametric Equations : Canonical Form, Values of t

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Consider the line with parametric equations,

x = 2t + 3 and y = -4t + 1

a) Find the equation of the line in non-parametric form.

b) Find the values of the parameter t which correspond to the points A (3, 1) and

B (7, -7) on the line.

c) Write down the range of values of t which, together with the given parametric

equations, describes the line segment AB.

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##### Solution Summary

Canonical form of a parametric equation and values of t are investigated. The range of values are determined.

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