SOLUTION: 1) what are the coordinates of the reflections of the point (2,-7) about the line y=-4

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Question 1090545: 1) what are the coordinates of the reflections of the point (2,-7) about the line y=-4



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

what are the coordinates of the reflections of the point (2,-7) about the line y=-4
Coordinate Rules for Reflection
If (a, b) is reflected on the x-axis, its image is the point (a, -b)
If (a, b) is reflected on the y-axis, its image is the point (-a, b)
If (a, b) is reflected on the line y = x, its image is the point (b, a)
If (a, b) is reflected on the line y = -x, its image is the point (-b, a)

y+=+-4 is the equation of a horizontal line at y%26%238202%3B=%26%238202%3B-4 (the mirror line or the line of reflection ), parallel to x-axis
point (2, -7) has an image that is equal in distance from the line of reflection but on the opposite side
The distance between (2, -7) and y%26%238202%3B=-%26%238202%3B4 , is 3 units in the "y" direction.
The first reflection of (2, -7) about y%26%238202%3B=%26%238202%3B-4 then is 3 units above given line of reflection, at (2, -1)