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
prove same homotopy type is an equivalent relation

please i need the answers to x^_7x+10 i want the vertex,axis of semetery,y intersect and the x intercept

Oscar's Oil Company provides customers a 5% discount if they pay their bill within 10 days. The Stevens' oil bill is $178. How much do they save if they pay the bill inside 10 days

Consider R be a relation from A to B, that is, take R A Χ B. Then Domain R = {a: a € A, (a, b) € R for any b € B} i.e. domain of R is the set of all the first components of

briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived

my daughter in kg now how can i train her to develop skills in undertanding the basics of all subjects how can i start teaching other than schol

Negative Skewness It is an asymmetrical curve whether the long tail extends to the left NB: In developed countries this frequency curve for the age distribution is charact

find the area of this figure in square millimeter measure each segment to the nearest millmeter

how do i count by 45s

what are the parts of angles