Question
Which of these lines are parallel to y=−2x+14?
Select all that apply.
Select all that apply.
Answers
GPT-4o mini
To determine which lines are parallel to the line given by the equation \( y = -2x + 14 \), we need to identify the slope of this line. The slope-intercept form of a linear equation is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In the equation \( y = -2x + 14 \), the slope \( m \) is \(-2\).
Lines that are parallel have the same slope. Therefore, any line parallel to this one must also have a slope of \(-2\).
If you have a list of other line equations, you can check their slopes. If a line can be expressed in the slope-intercept form as \( y = -2x + b \) (for any value of \( b \)), then that line will be parallel to the original line.
Please provide the list of lines you would like to evaluate, and I can assist further!
In the equation \( y = -2x + 14 \), the slope \( m \) is \(-2\).
Lines that are parallel have the same slope. Therefore, any line parallel to this one must also have a slope of \(-2\).
If you have a list of other line equations, you can check their slopes. If a line can be expressed in the slope-intercept form as \( y = -2x + b \) (for any value of \( b \)), then that line will be parallel to the original line.
Please provide the list of lines you would like to evaluate, and I can assist further!