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QuizMultiple Choice

Writing Linear Equations — Quiz

Question 3 • CA 2026 Geometry

Which equations represent the line that is parallel to 3 x minus 4 y is equal to 7 and passes through the point open paren negative 4 comma negative 2 close paren ? Choose two correct answers.

Answer
A
y plus 2 is equal to 3 fourths times open paren x plus 4 close paren
B
3 x minus 4 y is equal to negative 4
C
4 x minus 3 y is equal to negative 3
D
y is equal to negative 3 fourths x plus 1
E
y minus 2 is equal to negative 3 fourths times open paren x minus 4 close paren

Explanation

Rewrite 3x − 4y = 7 as y = 3/4x − 7/4, so its slope is 3/4. A parallel line has the same slope, and through (−4, −2) its point-slope equation is y + 2 = 3/4(x + 4), which is choice A. Expanding and rearranging gives 3x − 4y = −4, choice B.

AI-written and checked against the verified answer.

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