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Line p is defined by the equation 2y+3x=6
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13 Jul 2020, 07:52
13 Jul 2020, 07:52
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Line p is defined by the equation \(2y+3x=6\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The y-intercept of line p |
The x-intercept of line p |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
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Re: Line p is defined by the equation 2y+3x=6
[#permalink]
16 Jul 2020, 10:25
16 Jul 2020, 10:25
1
Equation of a line is given to us as \(2y+3x=6\) and we need to find the value of x and y intercept to solve the problem.
Let's first understand what exactly x-intercept and y-intercept are.
[ Refer Attached Figure ]
x-intercept is the point where the line touches the x-axis, that means the point on the line at which the y-co-ordinate becomes zero.
And, y-intercept is the point where the line touches the y-axis, that means the point on the line at which the x-co-ordinate becomes zero.
Let's try to use this theory to find x and y intercept now.
x-Intercept
Put y=0 in 2y + 3x = 6 , we get
2*0 + 3x = 6 => 0 + 3x = 6
=> x = 6/3 = 2
y-Intercept
Put x=0 in 2y + 3x = 6 , we get
2*y + 3*0 = 6 => 2y + 0 = 6
=> y = 6/2 = 3
=> y-intercept (which is 3) > x-intercept (which is 2)
=> Quantity A > Quantity B
So, Answer will be A
Hope it helps!
Let's first understand what exactly x-intercept and y-intercept are.
[ Refer Attached Figure ]
x-intercept is the point where the line touches the x-axis, that means the point on the line at which the y-co-ordinate becomes zero.
And, y-intercept is the point where the line touches the y-axis, that means the point on the line at which the x-co-ordinate becomes zero.
Let's try to use this theory to find x and y intercept now.
x-Intercept
Put y=0 in 2y + 3x = 6 , we get
2*0 + 3x = 6 => 0 + 3x = 6
=> x = 6/3 = 2
y-Intercept
Put x=0 in 2y + 3x = 6 , we get
2*y + 3*0 = 6 => 2y + 0 = 6
=> y = 6/2 = 3
=> y-intercept (which is 3) > x-intercept (which is 2)
=> Quantity A > Quantity B
So, Answer will be A
Hope it helps!
Attachments
intercept.jpg [ 75.14 KiB | Viewed 4302 times ]
Re: Line p is defined by the equation 2y+3x=6
[#permalink]
25 Jul 2020, 10:16
25 Jul 2020, 10:16
Carcass wrote:
Line p is defined by the equation \(2y+3x=6\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The y-intercept of line p |
The x-intercept of line p |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
The equation can be rewritten as y = (2/3)x + 3. We can see right away that the y intercept is 3. To find the x intercept, we need to find the value of x when y = 0. Set y equal to 0 and we find that x = 2. Therefore, Quantity A > Quantity B.
