Sometimes they do, sometimes they don't.
It depends upon which quadrant the point is in:
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
substitute 0 for y and solve for x. then substitute x for 0 and solve for why and you have the x and y coordinates
The formula is (x,y) -> (y,-x). Verbal : switch the coordinates ; then change the sign of the new x coordinate. Example : (2,1) -> (1,-2)
It is simply the difference between their y coordinates.
The quadrants where the x-coordinates and y-coordinates have the same sign are Quadrant I and Quadrant III. In Quadrant I, both x and y are positive, while in Quadrant III, both x and y are negative.
Yes
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
Y Equals X PointsAll points that has the same y coordinates as x coordinates are on the y=x line.
In algebra and mathematics , names are given to x coordinates and y coordinates as : x coordinates are known as abssisca. Y coordinates are known as ordinate.
The x and y coordinates are both positive in Q I. They are both negative in Q III
The reflection of a point or shape across the y-axis involves changing the sign of the x-coordinates while keeping the y-coordinates the same. For example, if you have a point (x, y), its reflection across the y-axis would be (-x, y). This transformation effectively flips the figure horizontally, creating a mirror image on the opposite side of the y-axis.
The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
The y-coordinates.The y-coordinates.The y-coordinates.The y-coordinates.
When a line is reflected over the Y-axis, the x-coordinates of all points on the line change sign, while the y-coordinates remain the same. For example, a point (x, y) would become (-x, y) after reflection. This transformation effectively flips the line horizontally, maintaining its slope but altering its position in the Cartesian plane.