12.5: Parametric Equation of Line in 3D

A presentation of vector starting at point [math]\left(2,5,7\right)[/math] and ending at point [math]\left(6,9,4\right)[/math] is

[math]\text{<4,4,-3>}[/math] [math]<2,5,7>[/math] [math]<8,14,11>[/math] [math]<6,9,4>[/math]

A presentation of line through points [math]\left(2,5,7\right)[/math] and [math]\left(6,9,4\right)[/math] is

[math]<4,4,-3>t+<2,5,7>[/math] [math]<8,14,11>t+<2,5,7>[/math] [math]<6,9,4>t+<2,5,7>[/math] [math]<2,5,7>t+<2,5,7>[/math]

Enter the equation of the line you found in vector format. Then observe it passing through the two points.

Information: 12.5: Parametric Equation of Line in 3D