Question

Cecily claims that the equation y = mx + b, where b is a real number,

represents a function whose graph is a line. Which statement BEST
classifies this claim?

Cecily's claim is true only when b is zero.

Cecily's claim is true for all values of b.

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

Cecily's claim is true only when b is not zero

Answer 1

Cecily’s claim is true for all values of b
I know someone already answered but I needed the points

Answer 2

Cecily's claim is true for all values of b.

Explanation:

Cecily's claim is true for all values of b.

If she graphs y = mx, and then y = mx + b, and then y = mx + c, and so on, she will find that her graphs are all straight lines that are parallel to each other (as they will all have the same slope, m).