Question

definition: a midpoint is the point (x,y) that bisects (divides into two parts) a line segment.
the midpoint formula
m = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\
ight)
where:
m = midpoint
x_1, x_2 = x-coordinates
y_1, y_2 = y-coordinates

Explanation:

Since the problem (presumably related to finding a midpoint, though specific coordinates are missing) would use the midpoint formula, here's a general step - by - step for a midpoint problem:

Step 1: Identify coordinates

Let the two endpoints be \((x_1,y_1)\) and \((x_2,y_2)\). For example, if endpoints are \((1,2)\) and \((3,4)\), then \(x_1 = 1\), \(y_1=2\), \(x_2 = 3\), \(y_2 = 4\).

Step 2: Apply x - coordinate formula

Calculate the x - coordinate of the midpoint using \(\frac{x_1 + x_2}{2}\). For the example, \(\frac{1+3}{2}=\frac{4}{2}=2\).

Step 3: Apply y - coordinate formula

Calculate the y - coordinate of the midpoint using \(\frac{y_1 + y_2}{2}\). For the example, \(\frac{2 + 4}{2}=\frac{6}{2}=3\).

Step 4: State the midpoint

The midpoint \(M\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). For the example, \(M=(2,3)\).

If you provide the specific coordinates of the two endpoints of the line segment, we can calculate the midpoint precisely.

(Note: Since the original problem didn't provide specific coordinates for the midpoint calculation, this is a general guide on how to use the midpoint formula. If you have the coordinates, substitute them into the steps above to get the midpoint.)

Answer:

Step 1: Identify coordinates

Let the two endpoints be \((x_1,y_1)\) and \((x_2,y_2)\). For example, if endpoints are \((1,2)\) and \((3,4)\), then \(x_1 = 1\), \(y_1=2\), \(x_2 = 3\), \(y_2 = 4\).

Step 2: Apply x - coordinate formula

Calculate the x - coordinate of the midpoint using \(\frac{x_1 + x_2}{2}\). For the example, \(\frac{1+3}{2}=\frac{4}{2}=2\).

Step 3: Apply y - coordinate formula

Calculate the y - coordinate of the midpoint using \(\frac{y_1 + y_2}{2}\). For the example, \(\frac{2 + 4}{2}=\frac{6}{2}=3\).

Step 4: State the midpoint

The midpoint \(M\) is \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). For the example, \(M=(2,3)\).

If you provide the specific coordinates of the two endpoints of the line segment, we can calculate the midpoint precisely.

(Note: Since the original problem didn't provide specific coordinates for the midpoint calculation, this is a general guide on how to use the midpoint formula. If you have the coordinates, substitute them into the steps above to get the midpoint.)