Question

Draw the graph of $\frac{y}{x}=\frac{y+1}{x+2}$

Answer 1

Given equation is $\frac{y}{x}=\frac{y+1}{x+2}$

$⟹xy+2y=xy+x$

$⟹2y=x$

Thus, the equation becomes $y=\frac{1}{2}x$

We find some points for this equation

$x$ $0$ $2$ $-2$ $4$ $-4$ $6$ $-6$

$y$ $0$ $1$ $-1$ $2$ $-2$ $3$ $-3$

Plot these points on the graph and we get the graph shown above.