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

A line has a slope of negative 4 fifths Which ordered pairs could be points on a line that is perpendicular to this line? Choose two correct answers.

Answer

open paren 2 comma negative 1 close paren and open paren 10 comma 9 close paren

open paren negative 3 comma 4 close paren and open paren 2 comma 0 close paren

open paren negative 2 comma 0 close paren and open paren 2 comma 5 close paren

open paren 1 comma negative 1 close paren and open paren 6 comma negative 5 close paren

open paren negative 4 comma 5 close paren and open paren 4 comma negative 5 close paren

Explanation

A line perpendicular to one with slope −4/5 has slope 5/4, the negative reciprocal. For A, the slope between the points is (9 − (−1))/(10 − 2) = 10/8 = 5/4. For D, it is (5 − 0)/(2 − (−2)) = 5/4, so both pairs could lie on a perpendicular line.

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