The points J, K, L, and M are on a straight line, and the distances between them are equal (JK = KL = LM). This means that to get from J to K, K to L, and L to M, we perform the exact same "step" or vector translation.
**Step 1: Find the step from J to K.**
- J has coordinates (0, 12).
- K has coordinates (5, 10).
- To get from x=0 to x=5, we add 5. (Change in x is +5).
- To get from y=12 to y=10, we subtract 2. (Change in y is -2).
So, the step to get from one point to the next is "go 5 units right and 2 units down".
**Step 2: Find the coordinates of L.**
We apply this step to the coordinates of K.
- K = (5, 10)
- L = (5 + 5, 10 - 2) = (10, 8).
**Step 3: Find the coordinates of M.**
We apply the same step to the coordinates of L.
- L = (10, 8)
- M = (10 + 5, 8 - 2) = (15, 6).
The coordinates of M are (15, 6).
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