5
QuizMultiple Choice

Comparing Functions and Geometric Properties — Test

Question 5 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

The midpoint of line segment mathrm cap k cap l is cap m times open paren 2 comma 7 close paren One endpoint is cap k times open paren negative 5 comma 11 close paren Which equations can be used to find the coordinates of endpoint cap l times open paren x sub 2 comma y sub 2 close paren ?

Answer
A
the fraction with numerator 2 plus x sub 2 and denominator 2 is equal to 11 comma the fraction with numerator 7 plus y sub 2 and denominator 2 is equal to negative 5
B
the fraction with numerator negative 5 plus x sub 2 and denominator 2 is equal to 7 comma the fraction with numerator 11 plus y sub 2 and denominator 2 is equal to 2
C
the fraction with numerator 2 plus x sub 2 and denominator 2 is equal to negative 5 comma the fraction with numerator 7 plus y sub 2 and denominator 2 is equal to 11
D
the fraction with numerator negative 5 plus x sub 2 and denominator 2 is equal to 2 comma the fraction with numerator 11 plus y sub 2 and denominator 2 is equal to 7

Explanation

The midpoint formula averages the two endpoints’ x-coordinates and averages their y-coordinates. With midpoint M = (2, 7) and endpoint K = (−5, 11), the equations are (−5 + x₂)/2 = 2 and (11 + y₂)/2 = 7. These are the equations in choice C.

AI-written and checked against the verified answer.

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