Question

Find the equation of the line passing through the point $(1,-2,3)$ and parallel in the line $\frac{x-6}{3}=\frac{y-2}{-4}=\frac{z+7}{5}$.

Answer 1

Parallel lines have same Drs

so Drs of the line are $(3,-4,5)$ and passing through $(1,-2,3)$

Equation is $\frac{x-1}{3}=\frac{y+2}{-4}=\frac{z-3}{5}$