How do you find parametric equations and symmetric equations for the line through the points (1, 3, 2) and (-4, 3, 0)?

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Leland Ochoa · Accepted Answer

Step 1Given two points             (              x        1            ,              y        1            ,              z        1            )       and             (              x        2            ,              y        2            ,              z        2            )       the standard form of the parametric equations of a line passing through both is:            {                                    x            =                          x              1                        +                          (                              x                2                            -                              x                1                            )                        t                                                y            =                          y              1                        +                          (                              y                2                            -                              y                1                            )                        t                                                z            =                          z              1                        +                          (                              z                2                            -                              z                1                            )                        t                              Step 2Thus in our case:            {                                    x            =            1            -            5            t                                                y            =            3                                                z            =            2            -            2            t                              We can easily see that the value       t    =    0   corresponds to the first point and the value       t    =    1   corresponds to the second.

How do you find parametric equations and symmetric equations for

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