Question

Represent $x-y+1=0$ and $3x+2y=12$ graphically shade the region bounded by these lines and x-axis. Also write vertices of shaded region.

Answer 1

We are given two lines

$A:x-y+1=0$ and

$B:3x+2y=12$

For different values of $x$ we get unique value of $y$

For $A$

$x$ $0$ $-1$ $1$ $2$

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

For $B$

$x$ $0$ $4$ $2$

$y$ $6$ $0$ $3$

so, the vertices are $(-1,0),(2,3)$ and $(4,0)$, of shaded region.