Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?
Since line AB passes through points A (1985, 92) and B (1995, 97), its slope is $\frac{97-92}{1995-1985}=\frac{5}{10}=\frac{1}{2}$
Let y be the population in the year 2010. Then, according to the given graph, line AB must pass through point C (2010, y).
$\therefore$ Slope of $A B=$ Slope of $B C$
$\Rightarrow \frac{1}{2}=\frac{y-97}{2010-1995}$
$\Rightarrow \frac{1}{2}=\frac{y-97}{15}$
$\Rightarrow \frac{15}{2}=y-97$
$\Rightarrow y-97=7.5$
$\Rightarrow y=7.5+97=104.5$
Thus, the slope of line $\mathrm{AB}$ is $\frac{1}{2}$, while in the year 2010 , the population will be $104.5$ crores.
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