8
QuizMultiple Choice

Finding Distance in the Coordinate Plane — Quiz

Question 8 • Algebra I

When graphed on a coordinate plane Beth’s house is located at open paren 4 comma 3 close paren and the coffee shop is located at the point open paren negative 2 comma negative 1 close paren What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.

Answer
A
52 miles
B
square root of 8 miles
C
square root of 52 miles
D
10 miles

Explanation

Use the distance formula: the horizontal difference is 4 − (−2) = 6 miles, and the vertical difference is 3 − (−1) = 4 miles. The distance is √(6² + 4²) = √52 miles, so the correct choice is square root of 52 miles.

AI-written and checked against the verified answer.

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