Question

mc004-1.jpg
(1, 3)
(3, 1)
mc004-2.jpg
mc004-3.jpg

Answer 1

I can’t view the images, but using the two points you gave (1, 3) and (3, 1):

- Slope of the line through them: (1 − 3)/(3 − 1) = −1.
- Equation of the line through them: y − 3 = −1(x − 1) → y = −x + 4.
- Midpoint: ((1+3)/2, (3+1)/2) = (2, 2).
- Distance: sqrt((3−1)^2 + (1−3)^2) = sqrt(8) = 2√2.
- They are reflections of each other across the line y = x (since their coordinates are swapped). The reflection map is (x, y) → (y, x).

If you meant something else with the images, tell me what you need (e.g., graph, equation of a symmetry line, transformation matrix, etc.).