Q8 of 10 Page 171

Find a relation between x and y. If the points (x,y), (1,2), and (7,0) are collinear.

We need to find the relation between (x,y), (1,2) and (7,0).


∴ the slope between two points must be same


The slope is given by m =


∴ Slope for (x,y) and (1,2) is given by


⇒ m =


∴ Slope for (1,2) and (7,0) is given by


⇒ m =


As the slope between two points is the same


⇒


⇒ 3(2 – y) = –1(1 – x)


⇒ 6 – 3 y = –1 + x


⇒ x + 3y = 7


The relation between the points is x + 3y = 7


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