Question

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

Answer Options:

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

Answer 1

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

**The points will make a straight line.**

In a linear graph, the relationship between the two variables is constant, which means the graph represents a straight line when plotted on a coordinate system. Here’s a brief explanation of why the other options are not necessarily true:

- **The points always have positive values**: This is not true, as the points on a linear graph can have negative values depending on the equation of the line.

- **The initial value is always zero**: This is not true either. The initial value (y-intercept) can be any value, not exclusively zero.

- **The rate of change can vary along the graph**: This is false for linear graphs, as the rate of change (slope) remains constant throughout the line.

Thus, the only true statement is that the points will make a straight line.