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.
Define Intercept of a LineBack to Top
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- intercept is given by ‘c’. The y - intercept is the Point on the y-axis where the given line crosses the y – axis, it means the point of Intersection of the line and y-axis. While determining the y-intercept there could be a possibility that the line lies on the origin or maybe not, but if it does then the y - intercept is already zero. If it doesn’t then we can calculate it by the equation of line. So in order to Define Intercept of a line we can use the equation of line which is shown below:
y = m(x) + c
e = [y - m(x)]
Where, (y) shows how far the line goes up,
(x) Denotes how far along and,
(m) Represents the Slope of line.
Let’s see some steps for calculating the y-intercept of line:
Step 1:- First put all the values which are required for the equation of line.
Step 2:- As we know that values are the coordinates of line and the Slope.
Step 3:- Then simplify if required for (c).
Let’s see how to find the y - intercept of a line, if the given values are y = -5, slope (m) of a line = 10 and x = 2?
As we know that the equation of line y = m(x) + c;
e = [y - m(x)]
e = [-5 - 10]
e = [-15]
So the intercept of a line is -15on given line.