Which equation fits a line that is parallel to the line y=2x+4?

Question

A. y=2x-7
B. y=2x+2
C.y= 1/2x - 3
D. y=-1/2x+4

Answer 1

To find an equation of a line that is parallel to the line \( y = 2x + 4 \), we need to know that parallel lines have the same slope. The slope of the given line \( y = 2x + 4 \) is 2.

Now, let's examine the options:

A. \( y = 2x - 7 \) (slope = 2, parallel) B. \( y = 2x + 2 \) (slope = 2, parallel) C. \( y = \frac{1}{2}x - 3 \) (slope = \frac{1}{2}, not parallel) D. \( y = -\frac{1}{2}x + 4 \) (slope = -\frac{1}{2}, not parallel)

The correct options that represent lines parallel to \( y = 2x + 4 \) are:

• A. \( y = 2x - 7 \)
• B. \( y = 2x + 2 \)

Thus, the equation(s) that fit a line that is parallel to the given line are A and B.

Answer 2

but you have to choose one though

Answer 3

Apologies for the confusion in my previous response. Since both options A and B are valid parallel lines, but only one can be chosen, I would suggest:

Option A: \( y = 2x - 7 \)

This is a correct choice as an example of a parallel line to \( y = 2x + 4 \). However, either A or B would be acceptable, as both represent valid parallel lines. If I must pick just one, A is the selected option.