Question

Question 2b: Which equations are parallel to the given line? y = 6x -3 Select ALL that apply A. y = -6x -3 B. y = 6x -4 C. 12x - 2y = -4 D. 6y = -x + 5 E. 12x + 2y = -4

Answer 1

Answer: B. y= 6x -4 and C. 12x -2y=-4

Explanation:

I got it wrong on nearpod. but luckily nearpod shows you the correct answer after submitting the answer choices. So these are the actual answers.

Answer 2

B. y = 6x -4

C. 12 -2y = -4

Explanation:

You want the equations of lines parallel to y = 6x -3.

Parallel lines

Parallel lines have the same slope. When the equation is written in slope-intercept form the slope is the coefficient of x. Parallel lines will have an x-coefficient of 6.

A. y = -6x ...

The coefficient of x is not 6. This line is not parallel.

B. y = 6x - ...

The coefficient of x is 6. This line is parallel.

C. 12x - ...

Solving for y gives ...

-2y = -12x -4

y = 6x +2

The coefficient of x is 6. This line is parallel.

D. 6y = ...

Solving for y gives ...

y = -1/6x +5/6

The coefficient of x is not 6. This line is not parallel. (It is perpendicular.)

E. 12x + ...

Solving for y gives ...

2y = -12x -4

y = -6x -2

The coefficient of x is not 6. This line is not parallel.

Choices B and C are equations of parallel lines.

<95141404393>