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# Line l is defined by the equation y = 3x + 10. If lines l and k inter

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
Line l is defined by the equation y = 3x + 10. If lines l and k inter  [#permalink]

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17 Jan 2019, 02:56
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Difficulty:

15% (low)

Question Stats:

90% (01:34) correct 10% (02:18) wrong based on 37 sessions

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Line l is defined by the equation y = 3x - 5. If lines l and k intersect to form a right angle at the point (3,4), which of the following is the equation of line k?

A y = −3x + 6

B y = −3x + 10

C y = 3x + 10

D y = −x/3 + 5

E y = −x/3 + 6

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Joined: 13 Feb 2018
Posts: 450
GMAT 1: 640 Q48 V28
Re: Line l is defined by the equation y = 3x + 10. If lines l and k inter  [#permalink]

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17 Jan 2019, 03:17
Dear Bunuel

I think
Point (3,4) does not lie on line l with equation y = 3x + 10

Am I trapped or I miss somth?

Regards
L
Math Expert
Joined: 02 Sep 2009
Posts: 58402
Re: Line l is defined by the equation y = 3x + 10. If lines l and k inter  [#permalink]

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17 Jan 2019, 03:24
LevanKhukhunashvili wrote:
Dear Bunuel

I think
Point (3,4) does not lie on line l with equation y = 3x + 10

Am I trapped or I miss somth?

Regards
L

Right. Edited. Thank you.
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Re: Line l is defined by the equation y = 3x + 10. If lines l and k inter  [#permalink]

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17 Jan 2019, 07:23
Bunuel wrote:
Line l is defined by the equation y = 3x - 5. If lines l and k intersect to form a right angle at the point (3,4), which of the following is the equation of line k?

A y = −3x + 6

B y = −3x + 10

C y = 3x + 10

D y = −x/3 + 5

E y = −x/3 + 6

substitute for values and (3,4 ) and test for values where we get x & y as ( 3 & 4)
IMO D is correct
also slope of line l * slope of line k = -1
line l slope = 3; line k slope = -1/3 so 3 * -1/3 = -1
D is correct
Re: Line l is defined by the equation y = 3x + 10. If lines l and k inter   [#permalink] 17 Jan 2019, 07:23
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