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

Answer 1
If a line goes through the point #(x_0,y_0)# with the direction #(a,b)#, then the parametric equation of the line is
#{(x(t)=x_0+at),(y(t)=y_0+bt):}#
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Answer 2

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

  1. Determine the coordinates of the given point.
  2. Choose a direction vector for the line.
  3. 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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Answer from HIX Tutor

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.

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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