Discussion
The line \(\frac{x + 1}{2} = \frac{y - 4}{4} = \frac{z - 2}{5}\) passes through the point
Answer: A
The line passes through (-3,0,-3).
A point lies on the line when all three ratios are equal. For \((-3, 0, -3)\):
\[ \frac{-3 + 1}{2} = \frac{0 - 4}{4} = \frac{-3 - 2}{5} = -1 \]
All equal \(-1\), so the point is on the line (it is the point with parameter \(-1\)). For \((3, 0, 5)\) the ratios are \(2, -1, \frac{3}{5}\); for \((-3, 0, 5)\), \(-1, -1, \frac{3}{5}\); for \((3, 4, 5)\), \(2, 0, \frac{3}{5}\); none is a single value.
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