# Intercept Of A Line

The intercept of a line is a Point in a graph which intersects either x axis or y axis. It can not cut both axes at a time.
Now we will see how to find the line intercept with the help of formula:
If we have a point on the line and the Slope of the line then the formula for finding the Intercept of a line is:
b = r – ms, where ‘m’ represents the Slope of the line.
And ‘r’ and‘s’ are the coordinates of any point on the line.
A number which measure the steepness of a line is known as Slope of a line.
Generally slope of a line is denoted by m. It changes the value of y for small change in the ‘x’ along the line.
Now we will see the formula for finding the slope of the line;
Slope = m = Py - Qy ,
Px – Qx

Where ‘x’ is the coordinate of point ‘P’ and ‘y’ is the coordinates of point ‘Q’.
Now we will see how to find the intercept of a line.
Suppose we have the value of ‘x’ and ‘y’ coordinates are 50 and 35 and slope of line is 2.5 then we can find the intercept of a line.
We know that the formula for finding the intercept of a line:
b = r – ms;
Here the value of ‘r’ is 35 and the value of ‘s’ is 50;
When we put the value of ‘r’ and ‘s’ in the given formula we get intercept of a line.
b = r – ms;
b = 35 – 2.5 * 50;
b = 35 – 125;
On further solving we get:
b = -90;
So the intercept of a line is -90.

## Define Intercept of a Line

The shortest distance measured between two points is known as straight line. If a line contains any curve then line is not straight. In mathematical Geometry a Straight Line is obtained by joining the two points.
Let’s see the equation of a straight line:
The equation of straight line is given by y = mx + c; where ‘m’ denotes the Slope of a line and y- inter...Read More