Which of the following could be the equation of line m?
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- Brent@GMATPrepNow
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First off, we can eliminate answer choice D, since y = 2 is the equation of a HORIZONTAL line, and the given line is NOT horizontal.
Next, we can eliminate answer choice E, since x = -2 is the equation of a VERTICAL line, and the given line is NOT vertical.
Now notice that line m has a POSITIVE y-intercept.
In other words, when x = 0, y is some positive number.
Take the remaining answer choices and replace x with 0, and then find the corresponding y-value.
(A) 6y + 6(0) = 7
Simplify: 6y = 7
Solve: y = 7/6.
Since y is positive, we can keep A
(B) 3y = -4(0) - 3
Simplify: 3y = -3
Solve: y = -1
Since y is negative, we'll ELIMINATE B
(C) 5y + 10 = -4(0)
Simplify: 5y + 10 = 0
Solve: y = -2
Since y is negative, we'll ELIMINATE D
By the process of elimination, the correct answer is A
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Brent
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- Scott@TargetTestPrep
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We see that line m has a negative slope and a positive y-intercept.
Since D and E are horizontal and vertical lines, respectively, we can immediately eliminate choices D and E.
Simplifying answer A, we have:
A)
y = (-6x + 7)/6
y = -x + 7/6
Since we have a positive y-intercept and a negative slope, answer choice A could be the equation of line m.
Answer: A
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