When discussing the key features of a linear graph, which of the following statements is true?

Question

A. The initial value is always zero.
B. The points will make a straight line.
C. The points always have positive values.
D. The rate of change can vary along the graph.

Answer 1

The true statement regarding the key features of a linear graph is:

B. The points will make a straight line.

Linear graphs are defined by a constant rate of change, which means they graphically represent a straight line. The other statements are not accurate in the general case of linear graphs:

• A. The initial value (y-intercept) can be any value, not necessarily zero.
• C. The points on a linear graph can have both positive and negative values, depending on the specific equation and its parameters.
• D. The rate of change (slope) in a linear graph is constant, not varying.