Forms on linear Functions

A linear function is a polynomial function of first degree with one variable.The standard form of linear functions is written as f(x)= mx + b.

A linear function is represented in a cartesian plane by a straight line. 


Slope intercept form of a line:
y = mx +b is the slope intercept form of a line where x and y are coordinates of any point on the line,m is the slope of the line and b is the y-intercept.

Slope point-form of a linear function:

(y - y1) = m(x - x1) is the slope-form of a line.

Intercept form of a linear function:

(x/a)+(y/b) = 1 is the intercept form of a linear function.

Let us take an example on form of linear function.If a linear function is defined as 10x-5y+15=0, how to we express the function in slope-intercept form.
Soln.10x-5y+15=0
     or -5y=-10x-15
     or y=2x+3  
So, the slope intercept is y=2x+3.


Next time we will learn about differentiability of a function.
See more examples on how to write a linear function in different forms from free help on solved examples.