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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. |
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Answer» `x-y+1 =0->Eq(1)` If we put,` x=0`, then ` y = 1` If we put `y=0` then `x=-1` So, we can draw aline with points (0,1) and (-1,0). Please refer to video for graph. `3x+2y-12=0->Eq(2)` If we put,` x=0`, then ` y = 6` If we put `y=0` then `x=4` So, we can draw aline with points (0,6) and (4,0). Please refer to video for graph. Now, from the graph, w can see the coodinates of the vertices of triangles are, `(-1,0),(2,3),(4,0)`. |
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