Mathematics

Find the equation of the perpendicular at the point (4,3) to the line y +…

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