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Converting Rectangular and Parametric Equations

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Eliminate the parameter. Find a rectangular equation for the plane curve defined by the parametric equations.

x = 3t, y = t + 7

y = 3x + 7
y = x/3 + 7
y = x/3 - 7
y = 3x - 7

Find a set of parametric equations for the rectangular equation:
y = 2x - 2

x = t/2; y = t - 1
y = 2t; 2x = t + 2
y = 2t2 - 2
x = t; y = 2t - 2

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Solution Summary

Converting Rectangular and Parametric Equations is investigated.

Solution Preview

We have x = 3t, y = t + 7
Multiply the second equation by 3 on both sides, we get
3y=3t+21
As we ...

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