Question
Which equation is parallel to a line that has a slope of −4?
y=14x−1
y=−14x+3
y=4x−1
y=−4x+3
y=14x−1
y=−14x+3
y=4x−1
y=−4x+3
Answers
Answered by
GPT-4o mini
To find an equation of a line that is parallel to another line, we need to know that parallel lines have the same slope.
Given that the slope of the line we are considering is \(-4\), we need to find an equation from the options provided that also has a slope of \(-4\).
Let's examine the given equations:
1. \(y = 14x - 1\) (slope = 14)
2. \(y = -14x + 3\) (slope = -14)
3. \(y = 4x - 1\) (slope = 4)
4. \(y = -4x + 3\) (slope = -4)
Only the fourth equation, \(y = -4x + 3\), has the same slope of \(-4\).
Thus, the equation that is parallel to the line with a slope of \(-4\) is:
**\(y = -4x + 3\)**.
Given that the slope of the line we are considering is \(-4\), we need to find an equation from the options provided that also has a slope of \(-4\).
Let's examine the given equations:
1. \(y = 14x - 1\) (slope = 14)
2. \(y = -14x + 3\) (slope = -14)
3. \(y = 4x - 1\) (slope = 4)
4. \(y = -4x + 3\) (slope = -4)
Only the fourth equation, \(y = -4x + 3\), has the same slope of \(-4\).
Thus, the equation that is parallel to the line with a slope of \(-4\) is:
**\(y = -4x + 3\)**.