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Joe claims that the equation y=2x+b where b is a real number, represents the graph of a straight line.

Which statement BEST classifies Joe's claim?

A.
Joe's claim is true only when b is 0.

B.
Joe's claim is true for all values of b.

C.
Joe's claim is not true for any value of b.

D.
Joe's claim is true only when b is not zero.

1 answer

The equation \( y = 2x + b \) represents the equation of a straight line in slope-intercept form, where \( 2 \) is the slope and \( b \) is the y-intercept. This is a standard form for linear equations and is valid regardless of the value of \( b \).

Thus, the best classification of Joe's claim is:

B. Joe's claim is true for all values of b.