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Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5

Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5
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  • A 2y - x = 4
  • B Y + 2x = 3
  • C Y + 2x = 5
  • D 2y - x = 2
Correct Answer: Option D
Explanation:
Gradient of the line y + 2x = 5 = -2
Gradient of the line perpendicular to
y + 2x + 5 = 1/2
equation of a line perpendicular to
y + 2x = 5 at the point (4, 3)
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
2y - 6 = x -4
2y - x = 2

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