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Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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07 Jun 2013, 00:43

GMATMadeeasy wrote:

In the xy-plane, if line k has negative slope and passes through the point (-5,r) , is the x-intercept of line k positive?

(1) The slope of line k is -5. (2) r > 0

the answer is E only because : as per your assumption you took x intercept as x.but it can also be negative try it with -x we cannot determine the sign of x intercept.if x intercept is (-x,0) then slope m=r-0/-5+x. and x=r+5m/m..

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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05 Dec 2014, 23:09

(1) the slope of line k is -5 => we know for each unit of "run" the line should have 5 units of "fall" => the x-intercept to be positive we should have r>25 but here the value of r is not clear => insufficient. (2) r>0, same as (1) the value of r is not clear also we don't know the slope => insufficient. (1) & (2): we know the slope is -5 and r>0 but r can be greater than 25 or less than it. => insufficient.

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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24 Dec 2015, 07:56

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Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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25 Sep 2016, 04:29

GMATMadeeasy wrote:

In the xy-plane, if line k has negative slope and passes through the point (-5,r) , is the x-intercept of line k positive?

(1) The slope of line k is -5. (2) r > 0

Hi, Can you please tell where I am wrong. I assumed eq of line as y=mx+c. Let x intercept be A(x,0) At point A, 0=mx+c =>x=-c/m Hence, sign of x will depend on sign of c/m Since m is negative, i. if c<0, -c/m <0 =>x<0 ii. if c>0, -c/m >0 =>x>0

Statement 1 is not sufficient. As per statement 2, r>0 => -5m+c>0 =>-5m>-c =>5m<c =>5<c/m or c/m >5 => both c and m have same sign i.e. m,c<0 => x<0 => Statement 2 is sufficient

Re: In the xy-plane, if line k has negative slope and passes [#permalink]

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23 Feb 2017, 04:56

PROMPT ANALYSIS The equation of the will be y = r + m(x+5) where m is the slope. X intercept is -r/m -5

Superset The answer will be either yes or no.

Translation In order to find the answer we need: 1# Exact value of m and r 2# Equations to solve m and r

STATEMENT ANALYSIS

St 1: m = -5. For this x intercept is r/5 -5. Cannot say about the sign of the expression because r can be any real number.INSUFFICIENT. Hence option a and d eliminated.

St 2: r>0. The value of -r/m -5 will depend on the value of m, which can be any real number. INSUFFICIENT. Hence option b eliminated.

St 1&st 2: r/5 -5 will be positive for natural number r>25, these kind of constraints are not given. SO INSUFFICIENT. HEnce option c eliminated. Option E.

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