Draw the graphs of the equation 2x - y = -8, 8x + 3y = 24. Determine the vertices of the triangle by the lines representing these equations and the x axis. Shade the triangular region.

2x -y = -8 
or y = 2x+8 (shown in blue)
x -4 0 -2 2
y 0 8 4 12


8x+3y =24 (shown in red)
x 3 0 1.5
y 0 8 4


From following graph we can say that vertices of the triangle are (-4,0) , (8,0) and (3,0) . 

Hope this would have cleared your doubt . 

 

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