# How do you find the parametric equations for a line through a point?

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To find the parametric equations for a line through a point, follow these steps:

- Determine the coordinates of the given point.
- Choose a direction vector for the line.
- Write the parametric equations using the point and the direction vector.

The parametric equations of the line passing through a point ( (x_0, y_0) ) with direction vector ( \langle a, b \rangle ) are:

[ x = x_0 + at ] [ y = y_0 + bt ]

where ( t ) is the parameter that varies along the line.

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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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