Question

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

Answer 1

To find an equation that fits 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 \( y = 2x + 4 \) is 2.

Now, we'll look through the provided options for an equation that also has a slope of 2:

1. \( y = 12x - 3 \) → slope = 12
2. \( y = \frac{1}{2}x - 3 \) → slope = \frac{1}{2}
3. \( y = 2x - 7 \) → slope = 2 (This one is parallel!)
4. \( y = 2x - 7 \) → slope = 2 (This one is also parallel!)
5. \( y = -12x + 4 \) → slope = -12
6. \( y = -\frac{1}{2}x + 4 \) → slope = -\frac{1}{2}
7. \( y = -2x + 2 \) → slope = -2

The equations \( y = 2x - 7 \) and \( y = 2x - 7 \) both have the required slope of 2.

Therefore, the correct answer is:

**y = 2x - 7**.