Suppose point J has coordinate of -2 and JK=4. Then what is the possible coordinate(s) for K?
If we are in one dimension here (on a number line) then
-2 + 4 = 2
and
-2 - 4 = -6
The coordinate of point J is given as -2, and we are told that JK has a length of 4 units. To determine the possible coordinates for point K, we need to consider two scenarios based on the given information.
Scenario 1: J is the leftmost point of the line segment JK.
In this case, as K is to the right of J, the x-coordinate of K would be 4 units greater than that of J. So, if J has a coordinate of -2, then K would have a coordinate of -2 + 4 = 2.
Scenario 2: J is the rightmost point of the line segment JK.
In this case, as K is to the left of J, the x-coordinate of K would be 4 units less than that of J. So, if J has a coordinate of -2, then K would have a coordinate of -2 - 4 = -6.
Therefore, the possible coordinates for point K are 2 and -6.