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Question

The line 5x4y=p intersects X-axis at the point (2, 0). Find the value of p. What are the co-ordinates of the point of intersection of line and Y-axis?

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Solution

Substituting (2,0) in the given equation of the line, we get
5(2)4(0)=p
=>p=10
So, the equation of the line is 5x4y=10
The line intersects at the y-axis, when its x cordinate is 0
So, substituting x=0 in the line, we get
5(0)4y=10
y=52
Hence, the line intersects the Y axis at (0,52)

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