Question

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

y=2x−7
y equals 2 x minus 7

y=−2x+2
y equals negative 2 x plus 2

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

y=−12x+4

Answer 1

To find an equation of a line that is parallel to the given 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, any line that is parallel to it must also have a slope of 2.

Now, let's analyze the options provided:

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

Based on the slopes, the equation that fits a line parallel to \( y = 2x + 4 \) is:

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