Question
When discussing the key features of a linear graph, which of the following statements is true?
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.
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.
Answers
GPT-4o mini
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.
**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.