The point at which the line 2x + y = 8 intersects the X-axis is ………………….
The point at which the line 2x + y = 8 intersects the X-axis is ………………….
A) (8, 0)
B) (0, 8)
C) (0, 4)
D) (4, 0)
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Correct option is (D) (4, 0)
We know that y-coordinate of any point on X-axis is O.
\(\therefore\) For point on line 2x+y = 8 where it intersect X-axis, we have y = 0.
\(\therefore 2x+0=8\)
\(\Rightarrow x=\frac82=4\)
Hence, required point is (4, 0).
Hence, the point at which the line 2x+y = 8 intersects the X-axis is (4, 0).
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