Answer:
No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.
Step-by-step explanation:
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An equation is formed when two equal expressions. Sam's equation y=6+x is incorrect, and the correct equation is y=6x.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In a proportional relationship, the value of the constant of proportionality is always equal to the ratio of the x and y for a directly proportional relationship and is equal to the product of x and y for an inversely proportional relationship.
Since am wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. Therefore, the equation can be written as,
y = 6x
Hence, Sam's equation y=6+x is incorrect, and the correct equation is y=6x.
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