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3y = 4x – 1 and Ky = x + 3 are equations of two…

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Mathematics JAMB 2000

3y = 4x – 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

  • -4/3 checkmark
  • -3/4
  • 3/4
  • 4/3

The correct answer is: A

Explanation

Grad of 3y = 4x - 1
y = 4x/3 - 1/3
Grad = 4/3

Grad of Ky = x + 3
y = x/k + 3/4
Grad = 1/k

Since two lines are perpendicular,
1/k = -3/4
-3k = 4
k = -4/3

There is an explanation video available .

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