Which of the following lines is parallel to 4x − 3y = 7?

Question

Accepted Answer

1. Two lines are parallel when they have the same slope.

2. For the line $4x-3y=7$: rewrite as $-3y=-4x+7$ so $y=\frac{4}{3}x-\frac{7}{3}$. Slope = $\frac{4}{3}$.

3. For (a) $4x-3y=5$: rewrite as $y=\frac{4}{3}x-\frac{5}{3}$. Slope = $\frac{4}{3}$.

4. Slopes match, so (a) is parallel.  
FINAL_ANSWER: a

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