If point P(-3,5) is reflected in the line y=-5, what will be the coordinates of the reflection of point p
Make a sketch or visualize it in you head
Obviously the x value will not change.
The y value of P is 10 units above the horizontal line y = -5
So your new point must be 10 unites below the line y = -5
What is your new point?
To find the reflection of point P(-3,5) in the line y = -5, we need to determine the image of point P when it is reflected across this line. Here are the steps you can follow to find the coordinates of the reflection:
Step 1: Determine the distance between the point P and the line y = -5. This distance can be found by calculating the vertical distance between the y-coordinate of point P and the line y = -5. In this case, the distance between point P and the line y = -5 is |5 - (-5)| = 10.
Step 2: The reflection of point P will lie at a distance of 10 units on the other side of the line y = -5. Since the line y = -5 is a horizontal line, the x-coordinate of the reflection will remain the same.
Step 3: To find the y-coordinate of the reflection, we need to subtract the distance we found in Step 1 from the y-coordinate of the line y = -5. In this case, the y-coordinate of the reflection will be -5 - 10 = -15.
Therefore, the coordinates of the reflection of point P(-3,5) in the line y = -5 will be (-3, -15).