9
QuizMultiple Choice

Writing Two-Variable Linear Equations — Quiz

Question 9 • Algebraic Reasoning

If y is equal to m x plus b is the equation of a line perpendicular to the line y is equal to 5 x minus 2 , what is the value of m ?

Answer
A
m is equal to negative 5
B
m is equal to negative 1 fifth
C
m is equal to 5
D
m is equal to 1 fifth

Explanation

The line y = 5x − 2 has slope 5, the coefficient of x. Perpendicular lines have slopes that are negative reciprocals, so m = −1/5. Therefore, the correct choice is B, m is equal to negative 1 fifth.

AI-written and checked against the verified answer.

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