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+2 y equals negative 2 x plus 2 y=−12x+4 y equals negative Start Fraction 1 over 2 End Fraction x plus 4 y=2x−7

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 line \( y = 2x + 4 \) is \( 2 \). Therefore, we want to find another line with a slope of \( 2 \).

Let's analyze the given options:

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

The only equation that has the same slope of \( 2 \) is:

\( y = 2x - 7 \).

So, the correct response is:

\( y = 2x - 7 \).