Draw the graph of the equations 4x – 5y + 16 = 0 and 2x + y – 6 = 0. Determine the vertices of the triangle formed by these lines and the x-axis. Also determine the coordinates of the vertices of the triangle formed by these lines and the x-axis
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4x – 5y + 16 = 0
Represented by the red line on the graph (See attachment)
2x + y – 6 = 0
Represented by the blue line on the graph (See attachment)
The three vertices of the triangle can be read off the graph:
The two coordinates are (-4, 0) , (3, 0) , (1. 4)
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4x – 5y + 16 = 0
2x + y – 6 = 0
The two coordinates are (-4, 0) , (3, 0) , (1. 4)
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