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