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.
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The correct answer is:
B. Joe's claim is true for all values of b.
Explanation: The equation \( y = 2x + b \) represents a straight line in slope-intercept form, where the slope is 2 and \( b \) is the y-intercept. The graph will be a straight line for any real number value of \( b \).
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