Question

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Answer 1

The point t is (22/4 , 7/4) which lie on the given line.

What is Section Formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally.

Here, Let (x, y) be the coordinates of point t.

given values

  x₁ = 1,    x₂ = 7,    y₁ = 4,    y₂ = 1,  m = 3 and n = 1

Point t lie on given line and divide the line in ratio 3:1.

Section Formula:

(x, y)      =        $(\frac{mx_{2}+nx_{1} }{m+n} , \frac{my_{2}+ny_{1} }{m+n} )$

(x, y)      =        $(\frac{3.7+1.1 }{3+1} , \frac{3.1+1.4}{3+1} )$

(x, y)      =        $(\frac{22}{4}, \frac{7}{4} )$

Thus, the point t is (22/4 , 7/4) which lie on the given line.

Learn more about Section Formula from:

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