# What is the image of (6, -3) reflected over the line y=4?

Coordinates of image are

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To find the image of a point reflected over a line, you can use the formula for reflecting a point over a line. The formula is:

[ (x', y') = (x, -y + 2b) ]

Where:

- ((x', y')) is the image point
- ((x, y)) is the original point
- (b) is the y-intercept of the line of reflection

Given that the line of reflection is (y = 4), its y-intercept ((b)) is 4.

Now, substitute the values (x = 6), (y = -3), and (b = 4) into the formula:

[ (x', y') = (6, -(-3) + 2 \cdot 4) ]

[ (x', y') = (6, 10) ]

So, the image of the point (6, -3) reflected over the line (y = 4) is (6, 10).

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