Which equation fits a line that is parallel to the line y=2x+4 ?(1 point)

Question

Possible Answers:
y=−2x+2 y equals negative 2 x plus 2 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=12x−3

Answer 1

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

The slope of the given line \( y = 2x + 4 \) is 2. Thus, we need to look for an equation that also has a slope of 2.

Now let's examine the possible answers:

1. \( y = -2x + 2 \) has a slope of -2 (not parallel).
2. \( y = 2x - 7 \) has a slope of 2 (parallel).
3. \( y = -12x + 4 \) has a slope of -12 (not parallel).
4. \( y = -\frac{1}{2}x + 4 \) has a slope of -\frac{1}{2} (not parallel).
5. \( y = 12x - 3 \) has a slope of 12 (not parallel).

The only equation with a slope of 2 is:

\( y = 2x - 7 \)

Thus, this is the equation that fits a line that is parallel to the line \( y = 2x + 4 \).