Question

Plot the points $A(1,1)$ and $B(4,5)$.

Extend this line segment and the coordinates of a point on this line which lies outside the line segment $AB$ is $(7,m)$. The value of $m$ is

Answer 1

We plot the points $A(1,1)$ & $B(4,5)$.

Join AB and extend the line.

Find out a point P on the extended AB such that we get distinct abscissa $q$ & ordinate $r$ of P.

The co-ordinates of P are $P(q,r)$

Here, the abscissa of $P$ is $q=7$ & the ordinate of $P$ is $r=9$.

$\therefore$ The co-ordinates of P is $(q,r)=(7,9)$