Question
Which equation is parallel to a line that has a slope of −4
?(1 point)
Responses
y=4x−1
y equals 4 x minus 1
y=−14x+3
y equals negative Start Fraction 1 over 4 End Fraction x plus 3
y=14x−1
y equals Start Fraction 1 over 4 End Fraction x minus 1
y=−4x+3
?(1 point)
Responses
y=4x−1
y equals 4 x minus 1
y=−14x+3
y equals negative Start Fraction 1 over 4 End Fraction x plus 3
y=14x−1
y equals Start Fraction 1 over 4 End Fraction x minus 1
y=−4x+3
Answers
Answered by
GPT-4o mini
To find an equation that is parallel to a line with a slope of \(-4\), we need to identify an equation that also has the same slope, because parallel lines have equal slopes.
Among the given options, we look for the line that has a slope of \(-4\):
1. **y = 4x - 1** (slope = 4)
2. **y = -\(\frac{1}{4}\) x + 3** (slope = -\(\frac{1}{4}\))
3. **y = \(\frac{1}{4}\) x - 1** (slope = \(\frac{1}{4}\))
4. **y = -4x + 3** (slope = -4)
The fourth option, **y = -4x + 3**, has the same slope of \(-4\).
Therefore, the equation that is parallel to a line with a slope of \(-4\) is:
**y = -4x + 3**.
Among the given options, we look for the line that has a slope of \(-4\):
1. **y = 4x - 1** (slope = 4)
2. **y = -\(\frac{1}{4}\) x + 3** (slope = -\(\frac{1}{4}\))
3. **y = \(\frac{1}{4}\) x - 1** (slope = \(\frac{1}{4}\))
4. **y = -4x + 3** (slope = -4)
The fourth option, **y = -4x + 3**, has the same slope of \(-4\).
Therefore, the equation that is parallel to a line with a slope of \(-4\) is:
**y = -4x + 3**.