State whether the given equation or function is linear. Write yes or no. Explain your reasoning. 5x4 + 5y = 9
1 answer:
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Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then
...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get
Putting , we get
Therefore, the correct option is A.