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Download now on Google Play**Problem**\(1\):

**Find the mid-point of the vertices \(A(1\), \(1)\) and \(B(-1\), \(-1)\)**.

**Given**:

The end points of the line segment are \(A(1\), \(1)\) and \(B(-1\), \(-1)\).

\(x_1 = 1\)

\(x_2 = -1\)

\(y_1 = 1\)

\(y_2 = -1\)

Let \(M\) be the mid-point of the line segment.

\(\text{Midpoint} = (\frac{x_1+x_2}{2}\), \(\frac{y_1+y_2}{2})\)

\(= (\frac{1 - 1}{2}\), \(\frac{1 - 1}{2})\)

\(= (\frac{0}{2}\), \(\frac{0}{2})\)

\(M = (0\), \(0)\)

**Problem**\(2\):

**Find the mid-point of the vertices \(A(9\), \(2)\) and \(B(4\), \(5)\)**.

**Given**:

The end points of the line segment are \(A(9\), \(2)\) and \(B(4\), \(3)\).

\(x_1 = 9\)

\(x_2 = 4\)

\(y_1 = 2\)

\(y_2 = 3\)

Let \(M\) be the mid-point of the line segment.

\(\text{Midpoint} = (\frac{x_1 + x_2}{2}\), \(\frac{y_1 + y_2}{2})\)

\(= (\frac{9 + 4}{2}\), \(\frac{2 + 3}{2})\)

\(M = (\frac{13}{2}\), \(\frac{5}{2})\)