draw the graph of the equation 3x +2y =12. At what point does the graph cut the x-axis and y axis
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Given,
Equation: 3x + 2y = 12
To Find,
The point at which the given line cut the x-axis and y axis=?
Solution,
The equation of the line is 3x + 2y = 12
When this line will intersect with the x-axis then its y coordinate will be zero.
Therefore, putting y = 0 in the equation,
3x + 2*0 = 12
3x = 12
x = 12/3
x = 4
The point at which this line will intersect the x-axis is (4,0)
Similarly, when this line will intersect with the y-axis then its x coordinate will be zero.
Therefore, putting x = 0 in the equation,
3*0 + 2y = 12
2y = 12
y = 12/2
y = 6
The point at which this line will intersect the y-axis is (0,6)
Hence, (4,0) and (0,6) are the points at which the line with equation 3x + 2y = 12 will cut the x-axis and y-axis.
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