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Equations of Parallel and Perpendicular Lines

Question 9 • Geometry, VIA Fall 26, [email protected]

The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = .

Answer
A
–4x + 5
B
–2x + 3
C
2x + 5
D
4x + 9

Explanation

Parallel lines have the same slope, so the required line has slope 4. Write it as y = 4x + b, then substitute the point (−1, 5): 5 = 4(−1) + b, which gives b = 9. Therefore, the equation is y = 4x + 9, choice D.

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