Answer: A line in space has no single slope, since it makes three separate angles with the axes.
- A A line in space has no single slope, since it makes three separate angles with the axes
- B Slopes only exist for lines passing through the origin in any dimension
- C Three points in space can never be collinear in the majority of documented cases
- D Slope is undefined whenever any coordinate is negative under usual circumstances
Correct answer: A. A line in space has no single slope, since it makes three separate angles with the axes
Explanation: In 2D a line has one slope; in space its direction needs three numbers (direction ratios), so collinearity is tested with distances or proportional direction ratios instead.
Concept context
Coordinate axes and planes in space, octants, distance between two points, and the section formula
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