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

Y=2x-7
Y= -1/2x+4
Y=1/2x-3
Y= -2x+2

1 answer

To find the equation that fits a line parallel to the line \( y = 2x + 4 \), we need to identify which option has the same slope as the given line.

The slope of the given line \( y = 2x + 4 \) is 2. A line that is parallel will also have the same slope.

Now, let's check the slopes of the provided options:

  1. \( Y = 2x - 7 \) has a slope of 2 (parallel).
  2. \( Y = -\frac{1}{2}x + 4 \) has a slope of -\(\frac{1}{2}\).
  3. \( Y = \frac{1}{2}x - 3 \) has a slope of \(\frac{1}{2}\).
  4. \( Y = -2x + 2 \) has a slope of -2.

The only equation with the same slope (2) as the line \( y = 2x + 4 \) is:

\( Y = 2x - 7 \).

This is the correct answer.