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Math Expert V
Joined: 02 Sep 2009
Posts: 58428
What is the x-intercept of line k, if line k has a slope of 23 and con  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 65% (01:22) correct 35% (01:27) wrong based on 65 sessions

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What is the x-intercept of line k, if line k has a slope of 2/3 and contains the point (6,14)?

A −15

B –14

C 0

D 10

E 15

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What is the x-intercept of line k, if line k has a slope of 23 and con  [#permalink]

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Bunuel wrote:
What is the x-intercept of line k, if line k has a slope of 2/3 and contains the point (6,14)?

A −15

B –14

C 0

D 10

E 15

y=mx+c
14= 2/3 * 6 + c
c = 10
y=0
0=2/3*x+10
x=-15
IMO A

Originally posted by Archit3110 on 17 Jan 2019, 07:38.
Last edited by Archit3110 on 17 Jan 2019, 10:30, edited 1 time in total.
Director  G
Joined: 09 Mar 2018
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Location: India
Re: What is the x-intercept of line k, if line k has a slope of 23 and con  [#permalink]

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Bunuel wrote:
What is the x-intercept of line k, if line k has a slope of 2/3 and contains the point (6,14)?

A −15

B –14

C 0

D 10

E 15

Slope is given
y = 2/3 * x + c

14 = 2/3 * 6 + c

c = 10

Now to find x -intercept, y will be 0

2/3 * x = -10
x = - 15

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Re: What is the x-intercept of line k, if line k has a slope of 23 and con  [#permalink]

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Bunuel wrote:
What is the x-intercept of line k, if line k has a slope of 2/3 and contains the point (6,14)?

A −15

B –14

C 0

D 10

E 15

First we determine the equation of line k, in slope-intercept form, as:

y = (2/3)x + b

We use the ordered pair (6, 14) to determine the value of b. We substitute 6 for x and 14 for y:

14 = (2/3) * 6 + b

14 = 4 + b

10 = b

The equation of line k is: :

y = (2/3)x + 10

Since the x-intercept is the point where y = 0, we have:

0 = (2/3)x + 10

-10 = 2x/3

-30 = 2x

-15 = x

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: What is the x-intercept of line k, if line k has a slope of 23 and con   [#permalink] 21 Jan 2019, 19:10
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