Equation of a straight line, Mathematics

In a two dimensional case, the form of the linear function can be obtained if we know the co-ordinates of two points on the straight line. Suppose  x' and  x"  are two given values and the corresponding y values are  y' and y" .

Then the slope of the line is:

m

= 416_equation of straight line.png

The intercept is

a

 = 742_equation of straight line1.png

In the n dimensional case, we need the co-ordinates of at least n points for finding the linear functional form.

Example 

Find the line relating Sales (Y) to Advertizing Expenditure (X) if

X:        20         23        26       29
Y:       160       172      184     196

If we assume that the 4 points (20, 160), (23, 172), (26, 184) and (29, 196) will fall on a straight line, then we may compute 'a' and 'm' using any pair of points.

m      =       (172 - 160)/(23 - 20) = 4,

a       =       160 - (4 x 20) = 80 and

y       =       80 + 4x

One may verify that all 4 points fall on the line.

For example, consider the point (29, 196)

80 + (4 x 29) = 196

Posted Date: 9/13/2012 5:57:47 AM | Location : United States







Related Discussions:- Equation of a straight line, Assignment Help, Ask Question on Equation of a straight line, Get Answer, Expert's Help, Equation of a straight line Discussions

Write discussion on Equation of a straight line
Your posts are moderated
Related Questions



Minimum and Maximum Values : Several applications in this chapter will revolve around minimum & maximum values of a function.  Whereas we can all visualize the minimum & maximum v

Suppose a Ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute. a. How fast is a person rising when the person is 3 meters above the horizontal lin

Thus, just why do we care regarding direction fields? Two nice pieces of information are there which can be readily determined from the direction field for a differential equation.

In her last gymnastics competition Keri scored a 5.6 on the floor exercise, 5.85 on the vault, and 5.90 on the balance beam. What was Keri's total score? Keri's three scores re

25 algebraic equations that equal 36

If a country with a struggling economy is losing the battle of the marketplace, should the affected government adjust its trade barriers to tilt the economic advantage of its domes

You are given the following information about the amount your company can produce per day given the number of workers it hires. Numbers of Workers Quanti