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Find the Cartesian equation of the line which passes through the point
(−2, 4, −5) and parallel to the line given by
Asked by Nishant Last Modified
Answer 
Vishaka Bhutia
Home Tutor
It is given that the line passes through the point (−2, 4, −5) and is parallel to
The direction ratios of the line, , are 3, 5, and 6.
The required line is parallel to
Therefore, its direction ratios are 3k, 5k, and 6k, where k ≠ 0
It is known that the equation of the line through the point (x1, y1, z1) and with direction ratios, a, b, c, is given by 
Therefore the equation of the required line is
Cartesian equation of the line passes through the point(-2 4-5 and parallel to the given lines x+2/3=y-4/5=z+5/6
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