Question

Find the relation between 𝒙 and 𝒚 if points (𝟐, 𝟏), (𝒙, 𝒚), and (𝟕, 𝟓) are collinear.

Answer 1

Points A(2,1),B(x,y), and C(7,5) are collinear which means the area of ∆ABC is 0.


Let A ($2,1)$ = ($x_1,y_1)$
B ($x,y)$ = ($x_2,y_2)$
C ($7,5)$ = ($x_3,y_3)$
Relationship between x and y is given as
4x-5y-3=0