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MATHEMATICS

JAMB 2010 - Question 37

Mathematics 2010 JAMB Past Questions - Question 37: Find the equation of the line parallel to y=-4x+2 passing through (2,3)

Find the equation of the line parallel to y=-4x+2 passing through (2,3)

A: y-4x+11

B: y-4x-11=0

C: y+4x+11=0

D: y+4x-11=0

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Correct Answer

Explanation

By comparing y = mx + cwith y = -4x +2,the gradient of y = -4x +2 is m = -4let the gradient of the line parallel to the geven line bemsub2, then msub2 = msub1 = -4(condition for parallelism)using y-ysub1 = msub2 (x-x)hence the equation of the parrallel line isy -3 = -4(x-2)y - 3 = -4x +8y+4x =8+3y +4x = 11y +4x - 11 =0