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In the coordinate plane, the yintercept of the line k is equal to twi
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17 Dec 2018, 00:40
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[ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\)
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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17 Dec 2018, 01:30
MathRevolution wrote: [ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\) given c=2m y=mx+c or say y=mx+2m x= y/m2 since y is not =0 , x intercept would be 2 .. IMO A
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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17 Dec 2018, 05:23
MathRevolution wrote: [ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\) \(k\,\,\,:\,\,\,y = ax + 2a\,\,\,\,\,\,\left( {a \ne 0} \right)\,\,\,\,\,\,\left( * \right)\) \(?\,\,\,\,:\,\,\,{x_p}\,\,{\rm{when}}\,\,y = 0\) \(\left( * \right)\,\,\,\, \Rightarrow \,\,\,\,\,\,0 = a\left( {{x_p} + 2} \right)\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{a \ne 0} \,\,\,\,\,\,\,? = {x_p} =  2\) This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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17 Dec 2018, 07:23
MathRevolution wrote: [ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\) One approach is to choose some values that meet the given information. In the coordinate plane, the yintercept of the line k is equal to twice its slope. Okay, so let's say the yintercept of line k is 6. We get: Since the yintercept (6) is TWICE the slope, we know that the slope = 3 What is the xintercept of the line k?Since (x, 0) are the coordinates of the xintercept . . . . . . we can apply the slope formula to wrote: ( 6  0)/( 0  x) = 3 Simplify: 6/(x) = 3 Multiply both sides by x to get: 6 = 3x Solve: x = 6/(3) = 2 Answer: A Cheers, Brent
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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17 Dec 2018, 08:19
MathRevolution wrote: [ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\) Equation of a line is y = mx +c Since y intercept = twice of slope So, c = 2m y=mx+2m TO find x intercept lets put y = 0 SO, mx+2m = 0 > x = 2 Answer A
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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19 Dec 2018, 06:00
=> The equation of line \(k\) has the form, \(y = mx + b\), where \(m\) is the slope and \(b\) is the yintercept. Let \(m\) be the slope of line \(k\). Then \(b = 2m\), and the equation is \(y = mx + 2m = m(x+2).\) The xintercept of line \(k\) is \(2,\) since \(2\) is a root of \(m(x+2)=0.\) Therefore, the answer is A. Answer: A
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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03 Mar 2019, 19:44
MathRevolution wrote: [ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\) We can let m = the slope, and thus 2m = the yintercept. The equation of the line is y = mx + 2m To find the xintercept, we set y = 0 and solve for x. Thus, we have: 0 = mx + 2m mx = 2m Since the yintercept is nonzero, m is nonzero as well. Thus, we can divide each side by m: x = 2m/(m) x = 2/(1) = 2 Answer: A
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Re: In the coordinate plane, the yintercept of the line k is equal to twi
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23 Mar 2019, 09:44
MathRevolution wrote: [ Math Revolution GMAT math practice question] In the coordinate plane, the yintercept of the line \(k\) is equal to twice its slope. The yintercept is not \(0\). What is the xintercept of the line \(k\)? \(A. 2\) \(B. 1\) \(C. 0\) \(D. 1\) \(E. 2\) slope, m=y/x (1) Given, y=2m (2) sustitute (2) in (1), m=2m/x ie., x=2 answer is A




Re: In the coordinate plane, the yintercept of the line k is equal to twi
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