2021
Mathematics
67ca00ce0c643c71d77dee1f
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.
-2/7
B.
7/6
C.
-6/7
D.
2
Correct Answer: 2
Explanation
Line: 2y + 8x -17 = 0 recall y = mx + c 2y = -8x + 17 y = -4x + 17/2 Slope m1 = 4 parallel lines: m1 . m2 = -4 where Slope ( -4) = (y2 − y1)/(x2 − x1) at points (-1, -p) and (-2,2) -4( x2 − x1 ) = y2 − y1 -4 ( -2 - -1) = 2 - -p p = 4 - 2 = 2
Line: 2y + 8x -17 = 0 recall y = mx + c 2y = -8x + 17 y = -4x + 17/2 Slope m1 = 4 parallel lines: m1 . m2 = -4 where Slope ( -4) = (y2 − y1)/(x2 − x1) at points (-1, -p) and (-2,2) -4( x2 − x1 ) = y2 − y1 -4 ( -2 - -1) = 2 - -p p = 4 - 2 = 2THIS WEEK's
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