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How to find X and y Intercepts
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Posted On :
Nov-01-2011
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Article Word Count :
444
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When a graph crosses any axis or any line, curve or surface intersects the axis than that is said to be an intercept, if graph crosses the y- axis than y- intercept
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When a graph crosses any axis or any line, curve or surface intersects the axis than that is said to be an intercept, if graph crosses the y- axis than y- intercept and if graph crosses the x- axis than x- intercept in a 2- D plane.
As we know an algebraic expression is the combination of variable and constants, so while describing the intercepts of algebraic equation for graphing the variables represents the co-ordinates of x and y axis.
x intercept and Y- intercept are used for graphing equations. A linear equation is the algebraic equation in which all its derivatives are of the same order. For graphing of linear equation, co- ordinates of its intersection on x and y axis or we can say x- intercept and y -intercept are required. For finding x -intercept and y -intercept, algebraic equation should be in standard form of linear equation as:
Px + Qy = R
here P, Q, R are constant coefficient and x , y are variables representing x and y co-ordinated of x and y axis respectively.
In general x -intercept means that all the points of y on x- axis are 0, similarly in case of y- intercept all the points of x on y -axis are 0. Let us take an example to elaborate it more:
An algebraic equation is as 27x2+ 9y2= 3 ( equation is in the standard form of linear equation)
now in case of x -intercept---->
as we know when x -intercept than all the point of y in equation are zero, so by putting y = 0 in the equation
27x2= 3
x2= 3/ 27
x2= 1/9
x= +(1/3) or -(1/3)
so when equation intercepts on x- axis than points are as ( 1/3, 0) and (-1/3, 0)
now in case of y – intercepts----->
in y- intercept , equation crosses the graph on y – axis so all the x points in equation are 0.
put x= 0 in equation
27x2+ 9y2= 3
9y2= 3
y2=3/9
y2=1/3
y = 1/3 or y = - 1/3a
so the points at which y -intercepts are (0,1/3) and (0, -1/3)
For providing lessons on x- intercepts and y- intercepts and many other math topics , online tutoring websites are available for students to excel students mathematical skills to solve more complex problems.
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Article Source :
http://www.articleseen.com/Article_How to find X and y Intercepts_98561.aspx
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Author Resource :
TutorVista is the #1 portal for learning y intercept. The tutors working with us are great in explaining graphing equations in best possible way.
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Keywords :
x intercept, y intercept, graphing equations,
Category :
Reference and Education
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Reference and Education
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