Intercept – Definition, Proof and Solved Examples

An Overall Idea of an Interceptor

An interceptor is a device that is used to capture enemy aircraft or missiles. Interceptors are often used by militaries to protect their territory from enemy attack. Interceptors can be either ground-based or air-based.

What is the Meaning of Intercept?

The intercept of a line is the point at which the line crosses the y-axis. The intercept is also the point at which the line has a y-coordinate of 0.

What is Intercept?

Intercept is a mathematical term used to describe the point at which a line or curve intersects a coordinate axis. It is also used to describe the y-intercept of a linear equation, which is the y-coordinate of the point at which the line crosses the y-axis.

Proof for Intercept Form of Equation of a Line

To find the equation of a line, we need to find the slope and the y-intercept. The slope is given by

where is the change in y-coordinates and is the change in x-coordinates. The y-intercept is given by

Intercept Example Problems:

1. Find the equation of the line that intercepts the y-axis at 2 and the x-axis at -3.

y = 2x + b

2. Find the equation of the line that intercepts the y-axis at 1 and the x-axis at 3.

y = 1x + b

3. Find the equation of the line that intercepts the y-axis at 4 and the x-axis at -5.

y = 4x + b

about Intercept Meaning in Maths

Intercept in maths is a point where a line or curve crosses the y-axis. The x-coordinate of the intercept is the y-coordinate of the intercept.