Question

find the coordinates of (a) the midpoint and (b) the points of trisection of the segment whose endpoints $\mathbf{S}$ and T are given. $\mathbf{S}(-3,7), \mathbf{T}(4,1)$

   find the coordinates of (a) the midpoint and (b) the points of trisection of the segment whose endpoints $\mathbf{S}$ and T are given.
 $\mathbf{S}(-3,7), \mathbf{T}(4,1)$

Modern Analytic Geometry

Modern Analytic Geometry

William Wooton,… 1st Edition

Chapter 2, Problem 17

Instant Answer

Step 1

The midpoint \(M\) is given by the formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] where \((x_1, y_1)\) are the coordinates of point \(\mathbf{S}\) and \((x_2, y_2)\) are the coordinates of point \(\mathbf{T}\). Show more…

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find the coordinates of (a) the midpoint and (b) the points of trisection of the segment whose endpoints $\mathbf{S}$ and T are given. $\mathbf{S}(-3,7), \mathbf{T}(4,1)$

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