find the midpoint of A(-2,0) and B(6,8)
You asked:
Find the midpoint between the points \(\left(-2, 0\right)\) and \(\left(6, 8\right)\).
MathBot Answer:
\( \left( 2, 4 \right) \) is the midpoint between \( \left( -2, 0 \right) \) and \( \left( 6, 8 \right) \) .
The midpoint between two points is the point \(M\), such that:
- \(M\) is the same distance from each point
- \(M\) lies on the line segment connecting the two points
The coordinates of the midpoint between the points \((x_1, x_2)\) and \((y_1, y_2)\) are given by the formula: \[ M = \left(\frac{x_1 + y_1}{2}, \frac{x_2 + y_2}{2}\right) \] The coordinates of the midpoint are: \[ M = \left( \frac{ -2 + 6 }{2}, \frac{ 0 + 8 }{2} \right) = \left( 2, 4 \right) \]