Question

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

Answer 1

A

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.

Answer 2

A.
`y = (4)/(3) x - (3)/(2)`

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 =
`(4)/(3)`x + 4

The graph that is parallel will have the same slope as this equation, which is
`(4)/(3)`.

Therefore, A.
`y = (4)/(3) x - (3)/(2)` would be the correct answer.