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Trisection of a Line Segment

Find the slop...

Question

Find the slope of the line which passing through the points
$(a t_{1}^{2}, 2 a t_{1}) a n d (a t_{2}^{2}, 2 a t_{2})$

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Solution

$(a_{1}^{2}, 2 a t_{1}) a n d (a t_{2}^{2}, 2 a t_{2}) Slope of line \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{2 a t_{2} - 2 a t_{1}}{a t_{2}^{2} - a t_{1}^{2}} = \frac{2 a (t_{2} - t_{1})}{a (t_{2} - t_{1}) (t_{2} + t_{1})} = \frac{2}{t_{2} + t_{1}}$

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Trisection of a Line Segment

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