Find a set of parametric equation for the line passing through the points (2,3) and (6,-3).

this is an even number in my book and there are no examples in this section on how to find a parametric equation using two points.

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- Dec 9th 2009, 07:25 AMvanessa123Finding a set of Parametric equation
Find a set of parametric equation for the line passing through the points (2,3) and (6,-3).

this is an even number in my book and there are no examples in this section on how to find a parametric equation using two points. - Dec 9th 2009, 08:00 AMearboth
- Dec 9th 2009, 08:39 AMvanessa123
- Dec 9th 2009, 05:37 PMNOX Andrew
An alternative to the method submitted by earboth follows.

Find the equation of the line. Considering the information given, use the point-slope form of the equation of a line and solve for .

Use as the parameter and let to produce the first parametric equation.

Substitute in the slope-intercept form of the equation of the line to produce the second parametric equation.

In case it isn't clear, and are a set of parametric equation for the line passing through the points (2,3) and (6,-3).

It's as easy as finding the equation of a line y in terms of x and substituting t for x.