Y-intercept

Definition

The y-intercept is the point where a graph intersects the y-axis. It represents the value of the dependent variable when the independent variable is zero.

5 Must Know Facts For Your Next Test

1. In kinematics, the y-intercept often corresponds to the initial position or velocity in one-dimensional motion graphs.
2. Is always found by setting the independent variable (often time) to zero and solving for the dependent variable.
3. For a position-time graph, the y-intercept represents the initial position of an object.
4. For a velocity-time graph, it represents the initial velocity of an object.
5. Can be positive, negative, or zero depending on where the graph crosses the y-axis.

Review Questions

• What does the y-intercept represent in a position-time graph?
• How do you find the y-intercept on a graph?
• What information can be obtained from the y-intercept of a velocity-time graph?

Related terms

Slope:

The rate at which one variable changes with respect to another; in physics, it often represents speed or acceleration.

Position-Time Graph:

A graphical representation showing how an object's position changes over time.

Velocity-Time Graph:

A graphical representation showing how an object's velocity changes over time.