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<h2>The standard parametric equation for the line isStep-by-step explanation:
The standard parametric equation for a line generally represented as ; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.
It is given that the line passes through the point (2, -2, 10).
Hence, here (a, b, c) ≡ (2, -2, 10).
Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).
Putting all the values in the equation of the line, the equation becomes
.
If you observe that , you can rewrite the expression as
Now, if you use the exponent rule , you may rewrite the expression again: