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Find the value of p if the line which passes through (-1,...

Find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?

A.

27

B.

76

C.

67

D.

2

Correct answer is D

Line:  2y+8x-17=0 

recall y = mx + c

2y = -8x + 17

y = -4x  + 172

Slope m1 = 4

parallel lines: m1. m2 = -4

where Slope ( -4) = y2y1x2x1 at points (-1, -p) and (-2,2)

-4( x2x1 ) = y2y1 

-4 ( -2 - -1) = 2 - -p

p = 4 - 2 = 2