Draw the graph of the linear equation 2x + 3y = 12. At what points, the graph of the equation cuts the x-axis and the y-axis?
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Answer:
2x+3y=12
Let X=3,then. ,Let X=6,then. ,Let X=9,then
2x+3y=12. 2x+3y=12. 2x+3y=12
2×3+3y=12. 2×6+3y=12. 2×9+3y=12
6+3y=12. 12+3y=12. 18+3y=12
3y=12-6. 3y=12/12. 3y=12-18
3y=6. 3y=0. 3y=-6
y=6/3. y=0/3. y=-6/3
y=2. y=0. y=-2
So, Co-ordinates are
X 3 6 9
Y 2 0 2
The graph of the equation cuts X-axis at +4
and Cuts Y-axis at +6.
- HOPE IT HELPS
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