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Which line passes through (2, −1) and is parallel to the line $3 x - y = 5$ ?

Competition practiceGeometry

A $y = 3 x - 7$
B $y = 3 x + 5$
C $y = - 3 x + 5$
D $x + 3 y + 1 = 0$

Step-by-Step Solution

A parallel line has the same slope, 3. Through (2, −1):

y + 1 = 3 (x - 2)

, i.e.

y = 3 x - 7

.

Answer: A)

y = 3 x - 7

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