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# Which of the following lines are perpendicular to the line 3

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Which of the following lines are perpendicular to the line 3 [#permalink]  30 Nov 2018, 17:46
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Which of the following lines are perpendicular to the line 3x + 2y = 7?

Indicate all possible values lines.

A. $$y=(\frac{2}{3})x+8$$

B. $$y= - (\frac{2}{3})x-6$$

C. $$y=(\frac{3}{2})x+5$$

D. $$y=-(\frac{3}{2})x-(\frac{4}{7})$$

E. $$2x+3y=19$$

F. $$2x-3y=-2$$
[Reveal] Spoiler: OA

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Re: Which of the following lines are perpendicular to the line 3 [#permalink]  07 Dec 2018, 01:10
The gradient of two perpendicular lines is always negative reciprocal of each other.
The line in question, 3x + 2y = 7 , has gradient - 3/2
So the gradient of perpendicular lines should be 2/3
Only lines in A & F has gradient 2/3
A,F
Re: Which of the following lines are perpendicular to the line 3   [#permalink] 07 Dec 2018, 01:10
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# Which of the following lines are perpendicular to the line 3

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