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 – y_{1} = m(x – x_{1})
y – 3 = ^{1}/_{2}(x – 4)
2y – 6 = x -4
2y – x = 2