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If the x -intercept of some line L is double as that of the line, 3 x+4 y=12 and the y -intercept of L is half as that of the same line, then the slope of L is :

Options

  1. A-3
  2. B-3 / 8
  3. C-3 / 2
  4. D-3 / 16

Correct answer

D. -3 / 16

Step-by-step solution

Given line 3 x+4 y=12 can be rewritten as aligned & 3 x 12 + 4 y 12 =1 x 4 + y 3 =1 & x -intercept =4 and y -intercept =3 aligned Let the required line be L : x a + y b =1 where a=x -intercept and b=y -intercept According to the question a=4 2=8 and b=3 / 2 Required line is x 8 + 2 y 3 =1 3 x+16 y=24 y= -3 16 x+ 24 16 Hence, required slope = -3 16 .

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