Slope – Intercept Form

The equation of line with slope ‘m’ and cutting a intercept ‘c’ on y-axis can be written as:     

 

Proof:

Since y-intercept=c

Equation of line passing through (0,c) is given by

y – c = m(x-0)

y = mx + c

Example 1.Write the equation of the line having slope =5 and y-intercept as 3

Solution:

 Putting the value of m=5 and c=3 in Equation y = mx + c 

  y = 5x+3

Example 2.Write the equation of the line having slope =1 and y-intercept as 1

Solution:

Putting the value of m=1 and c=1 in Equation y = mx + c

 y = x+1

Line is the simplest geometrical shape. It has no endpoints and extends in both directions till infinity. The word “straight” simply means without “bend”. The gradient between any two point on the line is same. Hence, we can say that, if the gradient between any two points on the line is same, then the locus is a straight line. So let’s see what are the different ways in the line can be represented.