The plus values become negative and the negative values become positive although their numerical values remain the same
Rise/Run (The rise of the slope divided by the run of the slope.)
Rise over run, generally change in y-coordinates divided by change in x-coordinates.
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
To reflect a point over the line ( y = x ), you swap its x-coordinate and y-coordinate. For the point ( (3, -2) ), the reflection over the line ( y = x ) results in the point ( (-2, 3) ). Therefore, the coordinates of the reflected point are ( (-2, 3) ).
It is impossible to figure it out with just one coordinate and no line. Maybe your line extends through the x and y system and you were given one coordinate. Take that coordinate and find the rise over run (slope). Follow that rise over run all the way to the y-axis. Whatever point you are on once you hit the y-axis that is the y-intercept.
For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.
Rise/Run (The rise of the slope divided by the run of the slope.)
reflect across the x-axis and then reflect again over the x-axis
Rise over run, generally change in y-coordinates divided by change in x-coordinates.
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
To reflect a point over the line ( y = x ), you swap its x-coordinate and y-coordinate. For the point ( (3, -2) ), the reflection over the line ( y = x ) results in the point ( (-2, 3) ). Therefore, the coordinates of the reflected point are ( (-2, 3) ).
Reflecting a point over the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. If a point is already located over the x-axis, its y-coordinate is positive. When reflecting this point over the x-axis, the positive y-coordinate becomes negative, resulting in the point being located below the x-axis.
Improved the over all health of the nation
You change the value of y to -y. ex: (4,5) reflected over the x-axis is (4,-5)
I dont really know if this is right but i think to do this problem you have to take a point then rotate the paper counter clockwise around the origin then you have a new point which is called a prime. Then reflect it over the y axis on the graph.
How does an increase in the number of product placements over the last few years reflect the changingbusiness model of tv broadcasting
When reflecting a point over the x-axis, you are essentially changing the sign of the y-coordinate while keeping the x-coordinate the same. So, if the original point has coordinates (x, -y), reflecting it over the x-axis would result in the new coordinates being (x, y). This transformation is a fundamental concept in geometry and can be applied to various shapes and figures to create mirror images across the x-axis.