find the solution of 2x+3y=12 strigh line method
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The straight line 2x + 3y = 12 passes through (0,4) and (6,0).
Further, the slope of the line is (-2/3) and the line makes an angle of 146.31 degrees with the x-axis measured in the anticlockwise direction.
The area of the triangle formed by the line and the x-axis and y-axis = 4*6/2 = 12 unit^2. Answer.
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2x+3y=12
Putting x=3, we get,
2×3+3y=12
6+3y=12
3y=6
y=2
(3,2)
Now, putting x=0, we get,
2×0+3y=12
0+3y=12
y=4
(0,4)
Now, putting x=6, we get,
2×6+3y=12
12+3y=12
3y=0
y=0
(6,0)
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