Joe claims that the equation y=2x+b

Question

, 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.

Answer 1

The equation given, \( y = 2x + b \), is in the slope-intercept form of a linear equation, where \( m = 2 \) (the slope) and \( b \) is the y-intercept. This form represents a straight line for any real number value of \( b \).

Therefore, the correct statement that best classifies Joe's claim is:

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