Define non-zero intercept?
A non-zero intercept refers to the point where a graph intersects the y-axis or x-axis (or any other axis) at a value other than zero. It signifies the value at which the graph starts or crosses an axis, indicating that there is a non-zero value or quantity associated with the variable.
To determine if a graph has a non-zero intercept, you can follow these steps:
1. Look at the equation or data that represents the graph.
2. Identify the equation or expression corresponding to the axis of interest (e.g., y-axis or x-axis).
3. Check if the value at which the graph intersects the axis is zero or non-zero.
If the value is zero, then it does not have a non-zero intercept. However, if the value is any number other than zero, then it has a non-zero intercept.
For example, consider the equation of a line: y = mx + b, where "b" represents the y-intercept. If the value of "b" is zero, the line intersects the y-axis at y = 0, indicating a zero intercept. But if the value of "b" is any other number (positive or negative), then it represents a non-zero intercept.