Linear functions, Mathematics

Linear functions are of the form:

y = a0 + a1 x1 + a2 x2 + ..... + an xn

where a0, a1, a2 ..... an are constants and x1, x2 ..... xn are n variables. (These functions are used in regression).

In a two dimensional space, a linear function is a straight line and is usually written as y = a + mx.

The Y-intercept is a and the slope of the line is m.

If m = 0; y = a is a line parallel to the X-axis.

If m > 0; as x increases, y increases. The line rises from left to right.

If m < 0: As x increases, y decreases. The line falls from left to right.

This is illustrated below.


2175_linear function.png


Straight line depreciation is a linear function of the number of years that have elapsed. This can be expressed in a functional form as:


= C - [C/N]   X


= book value of the asset

= original cost of the asset


= estimated economic life of the asset


= number of years that have elapsed.
Posted Date: 9/13/2012 5:54:58 AM | Location : United States

Related Discussions:- Linear functions, Assignment Help, Ask Question on Linear functions, Get Answer, Expert's Help, Linear functions Discussions

Write discussion on Linear functions
Your posts are moderated
Related Questions
If ABCD isaa square of side 6 cm find area of shaded region

Definite integration It involve integration among specified limits, say a and b The integral    is a definite integral whether the limits of integration are as: a and b

Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm

Independent and Dependent Events Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event

Intermediate Value Theorem Suppose that f(x) is continuous on [a, b] and allow M be any number among f(a) and f(b).   There then exists a number c such that, 1. a 2. f (

how to do mathematical proofs

What is Metric System explain in brief? There are two main systems of measurement in use today. Most countries in the world use the Metric System. In only three countries-the

Oscar sold 2 glasses of milk for each 5 sodas he sold. If he sold 10 glasses of milk, how many sodas did he sell? Set up a proportion along with milk/soda = 2/5 = 10x. Cross mu

Slope-intercept form The ultimate special form of the equation of the line is possibly the one that most people are familiar with.  It is the slope-intercept form.  In this if