26
QuizMultiple Choice

N/A — Exam

Question 26 • Algebra II

What is the equation of the line parallel to 3 x plus 5 y is equal to 11 that passes through the point open paren 15 comma 4 close paren ?

Answer
A
y is equal to 5 thirds x minus 21
B
y is equal to negative 3 fifths x plus 5
C
y is equal to negative 3 fifths x plus 13
D
y is equal to 5 thirds x minus 29

Explanation

Rewrite 3x + 5y = 11 as y = −(3/5)x + 11/5, so its slope is −3/5. A parallel line has the same slope; using (15, 4), 4 = −(3/5)(15) + b gives b = 13, so the equation is y = −(3/5)x + 13.

AI-written and checked against the verified answer.

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