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

y = 2x - 7

y = -2x + 2

y = -1/2x + 4

y = 1/2x - 3

1 answer

To find an equation of a line that is parallel to the line \(y = 2x + 4\), we need to look for a line that has the same slope. The slope of the given line \(y = 2x + 4\) is 2.

Now we can evaluate the given options to see which one also has a slope of 2:

  1. \(y = 2x - 7\) (slope = 2) - This line is parallel.
  2. \(y = -2x + 2\) (slope = -2) - This line is not parallel.
  3. \(y = -\frac{1}{2}x + 4\) (slope = -\frac{1}{2}) - This line is not parallel.
  4. \(y = \frac{1}{2}x - 3\) (slope = \frac{1}{2}) - This line is not parallel.

The only equation that fits a line parallel to \(y = 2x + 4\) is:

\(y = 2x - 7\).