Question

Which equation fits a line that is parallel to the line y=2x+4 ?(1 point) Responses y=−12x+4 y equals negative Start Fraction 1 over 2 End Fraction x plus 4 y=12x−3 y equals Start Fraction 1 over 2 End Fraction x minus 3 y=−2x+2 y equals negative 2 x plus 2 y=2x−7

Answer 1

Lines that are parallel have the same slope. The slope of the line given by the equation \(y = 2x + 4\) is 2.

Looking at the response options, we need to identify the line that also has a slope of 2.

The options are:

1. \(y = -12x + 4\) (slope = -12)
2. \(y = -\frac{1}{2}x + 4\) (slope = -\frac{1}{2})
3. \(y = 12x - 3\) (slope = 12)
4. \(y = \frac{1}{2}x - 3\) (slope = \frac{1}{2})
5. \(y = -2x + 2\) (slope = -2)
6. \(y = 2x - 7\) (slope = 2)

The equation that fits a line that is parallel to the line \(y = 2x + 4\) is:

**\(y = 2x - 7\)**.