Given your sister's incomplete text, “meet me at the trails located at (-2,”. explain why the trails must be in quadrant 2 or quadrant 3.

The x-coordinate is negative, and the only option for the y-coordinate is a positive or a negative number. If the y-coordinate is positive, then it is located in quadrant 2. If the y-coordinate is negative, then it is in quadrant 3.

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.