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 = P _{y}- Q_{y ,}P _{x} – Q_{x}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. |

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.