2005
Mathematics
67ca00ce0c643c71d77dee1f
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: 2y - x = 2
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
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 = 2THIS WEEK's
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