10
QuizMultiple Choice

Equations of Parallel and Perpendicular Lines — Quiz

Question 10 • Algebra: Concepts and Connections

What is the equation of the line that is parallel to the line y is equal to negative 1 third x plus 4 and passes through the point 6 comma 5 ?

Answer
A
y is equal to 3 x minus 13
B
y is equal to 3 x plus 5
C
y is equal to negative 1 third x plus 3
D
y is equal to negative 1 third x plus 7

Explanation

Parallel lines have the same slope, so the required line has slope −1/3. Substitute the point (6, 5) into y = −(1/3)x + b: 5 = −2 + b, giving b = 7. Therefore, the equation is y = −(1/3)x + 7, choice A.

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