Draw the graphs of the equations x-y+1=0 and 3x+2y-12=0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
We plot the points for both of the equations to find their points of intersection with the x-axis.
(Blue) and (Red)
We can see from the graphs that points of intersection of the lines with the x-axis are (-1, 0), (2, 3) and (4, 0).