# How do you convert each parametric equation to rectangular form: x = t - 3, y = 2t + 4?

Write t as a function of x then substitute that function into the equation for y. The resulting equation is

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To convert each parametric equation to rectangular form (x = t - 3, y = 2t + 4), solve the first equation for (t) and substitute it into the second equation to eliminate the parameter (t).

From the first equation, we have (t = x + 3).

Substitute this expression for (t) into the second equation: [y = 2(x + 3) + 4]

Now, distribute and simplify: [y = 2x + 6 + 4] [y = 2x + 10]

Therefore, the rectangular form of the parametric equations is (y = 2x + 10).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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