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=2x−7 y equals 2 x minus 7 y=12x−3 y equals Start Fraction 1 over 2 End Fraction x minus 3 y=−2x+2

Answer 1

To find an equation of a line that is parallel to the line \( y = 2x + 4 \), we need to remember that parallel lines have the same slope. The slope of the given line is \( 2 \).

Looking at the responses provided:

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

The equations that are parallel to the line \( y = 2x + 4 \) must have a slope of \( 2 \). The correct responses are:

- \( y = 2x - 7 \)

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

**y = 2x - 7**.