The point t is (22/4 , 7/4) which lie on the given line.
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) = [tex](\frac{mx_{2}+nx_{1} }{m+n} , \frac{my_{2}+ny_{1} }{m+n} )[/tex]
(x, y) = [tex](\frac{3.7+1.1 }{3+1} , \frac{3.1+1.4}{3+1} )[/tex]
(x, y) = [tex](\frac{22}{4}, \frac{7}{4} )[/tex]
Thus, the point t is (22/4 , 7/4) which lie on the given line.
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