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

Answer 1

To find the 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 that is parallel to this one will also have a slope of 2.

Now we can examine each of the given options to find one with a slope of 2:

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

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

\[
y = 2x - 7
\]

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