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Helppppppppppppppppppppping

Helppppppppppppppppppppping-example-1
User SimpLE MAn
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1 Answer

4 votes

Answer:

B

Explanation:

First we simplify the equation:

3y − 2x = k (5x − 4) + 6

3y − 2x = 5k x − 4k + 6

3y = (5k + 2) x − 4k + 6

y = (5k + 2)/3 x + (6 − 4k)/3

The line has a positive slope and negative y-intercept. So:

(5k + 2)/3 > 0

(6 − 4k)/3 < 0

Solving for k in each:

k > -2/5

k > 3/2

k must be greater than -2/5 and 3/2. Since 3/2 is already greater than -2/5, then k must be greater than 3/2.

If k > 3/2, then it's also true that k > 0. So the answer is B.

User Andrew Conner
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