Practice Test

Question 4 • Algebra I

Which equation can be used to determine the distance between the origin and open paren negative 2 comma negative 4 close paren ?

Answer

d is equal to square root of open paren 0 minus negative 2 close paren squared minus open paren 0 minus negative 4 close paren squared end root

d is equal to square root of open paren open paren 0 minus 2 close paren plus open paren 0 minus 4 close paren close paren squared end root

d is equal to square root of open paren 0 minus negative 2 close paren squared plus open paren 0 minus negative 4 close paren squared end root

d is equal to square root of open paren open paren 0 minus 2 close paren minus open paren 0 minus 4 close paren close paren squared end root

Explanation

Use the distance formula between two points: d = √((x₂ − x₁)² + (y₂ − y₁)²). The origin is (0, 0), and the other point is (−2, −4), so the equation is d = √((0 − (−2))² + (0 − (−4))²). This is choice C; the squared coordinate differences are added, not subtracted.

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