Explain and solve how the rectangular equation y = 5x can have infinitely many sets of parametric equations.

waigaK 2020-10-20 Answered
Explain and solve how the rectangular equation y=5x can have infinitely many sets of parametric equations.
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Expert Answer

Asma Vang
Answered 2020-10-21 Author has 93 answers
Step 1 y=5x It represents a line passing through the origin. Step 2 We find the set of parametric equations by choosing arbitrary parametric equation for x and then substituting it in the given equation. For example, Let x=t, then y=5t Therefore set of parametric equations are x=t and y=5t. Now let x=t + 1, then y=5(t + 1)
=5t + 5 Therefore set of parametric equations are x=t + 1 and y=5t + 5. Similarly by choosing different parametric equation for x, we will get different set of parametric equations. Hence the rectangular equation y=5x can have infinitely many sets of parametric equations.
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