Question

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

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 \(y = 2x + 4\) is 2.

Thus, any line parallel to it will also have a slope of 2. We will now look for the response options that have this slope.

Here are the slopes of the provided equations:

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 that is parallel to \(y = 2x + 4\) is:

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