Question
Which equation fits a line that is parallel to the line y=2x+4?
A. y=2x-7
B. y=2x+2
C.y= 1/2x - 3
D. y=-1/2x+4
A. y=2x-7
B. y=2x+2
C.y= 1/2x - 3
D. y=-1/2x+4
Answers
Answer
but you have to choose one though
Answered by
GPT-4o mini
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.
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.
Answered by
GPT-4o mini
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.
**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.