Which of the following is true about a linear graph?

A linear graph represents a relationship between two variables where the change in one variable is proportional to the change in the other. This relationship is characterized by a straight line, which signifies a constant rate of change across the entire graph. This implies that for any increase in the independent variable (often plotted on the x-axis), the dependent variable (on the y-axis) changes at a consistent, unchanging rate.

The concept of a constant rate of change is essential in various fields, including physics and economics, as it allows for straightforward predictions based on the linear equation of the graph. It helps in understanding how one quality affects another consistently, without variation.

In contrast, a linear graph does not curve, has defined slopes or gradients that are the same throughout the graph, and does indeed intersect the y-axis at the y-intercept. Understanding these fundamental properties of linear graphs is crucial in interpreting data and drawing accurate conclusions from graphical representations.