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Answer: x = -4, y = 0.5, z = 5 +t
Hi!
The line L whose direction is parallel to vector V a passes through point A
is parametrized
Where t, is a real number, and is a any point on line L.
In this case the direction is that of the z-axis , so V = (0, 0, 1)
A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)
The midpoint is A = (B + C)/2 = (-4, 0.5, 5)
Then the line is:
The equations for each coordinate are: