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worty [1.4K]
3 years ago
6

The graph of which of the following will be parallel to the graph of 4x – 3y = –12? A.y= 4/3x -3/2 B.6x-4y=-8 C. y=3/4x+1 D.4x-

2y=-12
Mathematics
2 answers:
blsea [12.9K]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Solve for y.

4x – 3y = -12

4x + 12 = 3y

y = 4/3 x + 4

The slope of the line is 4/3.  So you need another line with the same slope.  So the answer is A.

ra1l [238]3 years ago
3 0

Answer:

A. y = \frac{4}{3} x - \frac{3}{2}

Step-by-step explanation:

First, we have to turn 4x - 3y = -12 into slope-intercept form (y = mx + b). To do this, we first have to isolate 3y.

4x - 3y = -12

    +3y    +12     Add 3y to both sides and add 12 to both sides

4x + 12 = 3y

3y = 4x + 12

Isolate y by dividing 3 from both sides.

y = \frac{4}{3}x + 4

The graph that is parallel will have the same slope as this equation, which is \frac{4}{3}.

Therefore, A. y = \frac{4}{3} x - \frac{3}{2} would be the correct answer.

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