please answer this

Question

What is the equation of a line that is perpendicular to the line y = –14x – 1 and passes through the point (3, 7)?

A. y = –4x + 19

B. y = 4x – 5

C. y = 14x + 254

D. y = –4x + 31

Answer 1

1/14 = (y-7)/(x-3)

cross multiply

x-3 = 14y - 98

14y = x + 95

y = x/14 + 95/14

check the answer, plug in (3,7), x=3, y=7

7 = 3/14 +95/14 = (3+95)/14 = 98/14 = 7

None of the 4 choices is correct

A and B though are lines that at least pass through (3,7), C and D don't go through that point.

y = -14x - 1 has a slope = -14. A perpendicular line has a negative inverse slope = 1/14

None of the 4 choices have the correct slope for a perpendicular line, B and C at least have the right sign, +

if this were a test, and the directions said "choose the best answer" probably B, it at least has a line that goes through (3,7) and has the right sign for the slope.

Either the problem was copied incorrectly, the answers copied incorrectly, or whoever designed the question miscalculated what they were doing.

Answer 2

None of the answer choices are correct for a perpendicular line, and none of the answer choices are correct for a parallel line.