find the missing coordinate.

d=5 (b,4) and (2,-1)

To find the missing coordinate, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane, given their coordinates.

Let's label the missing coordinate as (x,y). We know the distance between (b,4) and (2,-1), which is given as d = 5.

The distance formula is √((x2 - x1)^2 + (y2 - y1)^2), where (x1,y1) and (x2,y2) are the coordinates of the two points.

Using this formula, we can substitute the given values:

5 = √((2 - b)^2 + (-1 - 4)^2)

Simplifying the equation, we have:

25 = (2 - b)^2 + (-1 - 4)^2

25 = (2 - b)^2 + (-5)^2

25 = (2 - b)^2 + 25

Now, we can isolate the squared term:

(2 - b)^2 = 25 - 25

(2 - b)^2 = 0

Taking the square root of both sides gives us:

2 - b = 0

Solving for b:

2 = b

Therefore, the missing coordinate is (2, y), where y can be any value.