Linear algebra is a branch of algebra that deals with linear problems. The linear relationship is that the relationship between exponential objects is expressed in ( ) times form?

Question

Options

• A1
• B2
• C3
• D4

• A
  84% (26)
• B
  10% (3)
• C
  3% (1)
• D
  3% (1)

Explanation

Option A is correct because "linear" refers to relationships where variables appear to exactly the first power (degree 1), meaning no variable is squared, cubed, or raised to any higher exponent. A linear equation like y = mx + b expresses a direct, proportional relationship with no exponents beyond 1. Options B, C, and D are incorrect because expressions with variables raised to the 2nd, 3rd, or 4th power describe quadratic, cubic, and quartic relationships respectively - all of which produce curves, not straight lines.

Memory tip: The word "linear" shares its root with "line" - a straight line on a graph is the visual result of a first-power (degree 1) equation, so whenever you see "linear," think power of 1.

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