Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5
- 2y - x = 4
- y + 2x = 3
- y + 2x = 5
-
2y - x = 2
The correct answer is: D
Explanation
Gradient of the line y + 2x = 5 = -2Gradient 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