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Question


Find the point at which the line represented by the equation 6x+5y=9, intersects the x-axis. 


Options:
A .   (0,32)
B .    (32,0)
C .   (1,0)
D .   (2,3)
Answer: Option B
:
B

Let the line intersects at point (x, y).
We know that if a line intersects the x-axis then the  y coordinate of the point at which it intersects will be 0.
y = 0
On substituting y = 0 in the given equation, we get
6x+0=9
x=32
Thus, the point at which the given line intersects the x-axis is (32,0).



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