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GMAT Official Guide 2019 In the xy-coordinate plane

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by BTGmoderatorDC » Sat Jul 07, 2018 1:42 am

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Answers

A

B

C

D

E

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Difficulty—

In the xy-coordinate plane, if the point (0,2) lies on the graph of the line 2x + ky = 4, what is the value of the constant k ?

A. 2

B. 1

C. 0

D. -1

E. -2
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by Brent@GMATPrepNow » Sat Jul 07, 2018 5:58 am
BTGmoderatorDC wrote:In the xy-coordinate plane, if the point (0,2) lies on the graph of the line 2x + ky = 4, what is the value of the constant k ?

A. 2

B. 1

C. 0

D. -1

E. -2
KEY CONCEPT: In order for a point to be ON a line, the x- and y-coordinates of the point must satisfy the equation of that line
So, for example, the point (3,7) lies ON the line defined by the equation y = 2x + 1, because x = 3 and y = 7 satisfy the equation y = 2x + 1
That is, 7 = 2(3) + 1

So, if the point (0,2) lies on the graph of the line 2x + ky = 4, then x = 0 and y = 2 must satisfy the equation 2x + ky = 4
Replace x and y with 0 and 2 to get: 2(0) + (k)(2) = 4
Simplify: 0 + 2k = 4
Solve: k = 2

Answer: A
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by Scott@TargetTestPrep » Sun Jul 22, 2018 5:33 pm
BTGmoderatorDC wrote:In the xy-coordinate plane, if the point (0,2) lies on the graph of the line 2x + ky = 4, what is the value of the constant k ?

A. 2

B. 1

C. 0

D. -1

E. -2
We can substitute 0 for x and 2 for y and solve for k:

2(0) + k(2) = 4

2k = 4

k = 2

Answer: A

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by ca7ch22 » Wed Mar 13, 2019 4:33 pm
[1] Translate Coordinates to X and Y

A point on a Cartesian plane always follows the (x, y) format.

For this problem, (0, 2) corresponds to an x value of 0 and a y value of 2.

[2] Plug X and Y Into Line Formula

2x + ky = 4

2(0) + k(2) = 4

0 + 2k = 4

k = 2
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Re: GMAT Official Guide 2019 In the xy-coordinate plane

by Bijaya Krushna Mohapatra » Thu Jan 16, 2020 10:21 pm
the Point is (0,2)

So 2x +Ky =4
putting the value of x and y we will get

k.2= 4
K=2

So ans . (A)
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