Obtain the symmetric pointof point A(-1, 3)in relation to point M(2, 4).

 (5, 5)

Step-by-step explanation:

If M is the midpoint of segment AB, then we have ...

  B = 2M -A

  B = 2(2, 4) -(-1,3) = (2·2 +1, 2·4 -3) = (5, 5)

The point (5, 5) is a reflection of point A across point M.

_____

Using a graph, you can easily see that A is 1 down and 3 left of M, so that its reflection will need to be 1 up and 3 right of M.

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The formula above is derived from the relation ...

  M = (A +B)/2 . . . . M is the midpoint of AB

  2M = A +B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to find B

d=13p-10/5

Step-by-step explanation:

p=10+5d/13

13p=10+5d

13p-10=5d

13p-10/5=d

d=13p-10/5