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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #8456)