Answer: B - Line x/2 + y/3 = 1 has a negative slope.x/2 + y/3 = 1 × 66 × x/2 + 6 × y/3 = 6 × 13x + 2y = 62y = − 3x + 6y = − 3/2 x + 3k = − 3/2<0, Therefore, the slope is negative

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SAT Prep

Category - Math

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Which of the following lines has a negative slope?

x/2 − y/3 = 1
x/2 + y/3 = 1
2x − 3y − 1 = 0
− 2x + 3y − 1 = 0
(x − y)/6 = 1

Explanation

Answer: B - Line x/2 + y/3 = 1 has a negative slope.
x/2 + y/3 = 1 × 6
6 × x/2 + 6 × y/3 = 6 × 1
3x + 2y = 6
2y = − 3x + 6
y = − 3/2 x + 3
k = − 3/2<0, Therefore, the slope is negative

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