Question

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

Answer 1

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

The slope of the line \( y = 2x + 4 \) is 2. Thus, any line that is parallel to it must also have a slope of 2.

Now let's examine the given options:

1. \( y = -2x + 2 \) (slope = -2)
2. \( y = \frac{1}{2}x - 3 \) (slope = \(\frac{1}{2}\))
3. \( y = 2x - 7 \) (slope = 2)
4. \( y = -\frac{1}{2}x + 4 \) (slope = -\(\frac{1}{2}\))

The only equation from the options that has the same slope (2) is:

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

So the equation that fits a line parallel to \( y = 2x + 4 \) is \( y = 2x - 7 \).