Find the cartesian equation of the line which passes through the point (–2, 4, –5) and parallel to the line given by

We know that

The Cartesian equation of a line through a point (x_{1}, y_{1}, z_{1}) and having direction ratios a, b, c is .

Here, The point (x_{1}, y_{1}, z_{1}) is (-2, 4, -5) and the direction ratios are:

a = 3, b = 5, c = 6

⇒ The Cartesian equation of the required line is:

⇒

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