9
QuizMultiple Choice

Finding Distance in the Coordinate Plane — Quiz

Question 9 • Algebra I

Which equation correctly shows how to determine the distance between the points open paren 9 comma negative 2 close paren and open paren 6 comma 3 close paren on a coordinate grid?

Answer
A
d is equal to square root of open paren 6 minus 3 close paren squared plus open paren 9 minus negative 2 close paren squared end root
B
d is equal to square root of open paren 6 minus 9 close paren squared plus open paren 3 minus negative 2 close paren squared end root
C
d is equal to square root of open paren 6 plus 9 close paren squared plus open paren 3 plus negative 2 close paren squared end root
D
d is equal to square root of open paren 6 plus 3 close paren squared plus open paren 9 plus negative 2 close paren squared end root

Explanation

Use the distance formula: d = √((x₂ − x₁)² + (y₂ − y₁)²). For the points (9, −2) and (6, 3), this gives d = √((6 − 9)² + (3 − (−2))²), which matches the equation in choice B. The coordinates are subtracted by their corresponding x- and y-values.

AI-written and checked against the verified answer.

Previous
Next