The residents of a housing society, on the occasion of environment day, decided to build two straigh

Question

The residents of a housing society, on the occasion of environment day, decided to build two straight paths in the central park of the society and also plant trees along the boundary lines of each path. Taking one corner of the park as origin and the two mutually perpendicular lines as the $x$-axis and $y$-axis, the paths were represented by the two linear equations $2 x-3 y=5$ and $-6 x+9 y=7$. \If the line $-6 x+9 y=7$ intersects the $y$-axis at a point, then its coordinates are\

Professor PC Thomas Classes · Answer

(a) : If the line $-6 x+9 y=7$ intersects the $y$-axis at a particular point, then $x=0$ at that point.\ Then we have $$ -6 	imes 0+9 y=7 \Rightarrow y=\frac{7}{9} $$ $	herefore \quad$ The required coordinates are $\left(0, \frac{7}{9}ight)$\