Wednesday, October 10, 2012

Point Slope Formula

Introduction

Point slope form of a line is mainly used to graph the linear equation. The point slope form mainly needs slope m and a point P ( X1, Y1) Any straight line can be obtained if we know the slope and the any point which lies on it. Generally point slope form is used when we are aware of only single point and a slope m. Any straight line can be graphed on the X and Y axis using the Point slope form.  Many equations can be graphed with the help of this form of line.  And several other points may also be traced which lie on the same line.

Students can learn about it from the tutors online. Students can get also help with their homework problems from the geometry homework help page.Students can get online math homework help for free.

Examples Based on Point Slope Formula

Standard  point slope equation

The standard point slope of equation is given by :

Y  - Y 1    =    m (  X -X1 )

(x, y) = coordinate of any point  and  m is the slope,  (X1, Y1)  = x and y coordinates of the given point P (X1, Y1)

When we graph it we get a straight line


Example : You are given the point (4,3) and a slope of 2. Find the equation for this line in point slope form.

solution :   Just plug the given values into your point-slope formula above. The point (4,3) is in the form of (x1,y1). That means in pleace of  y1, use 3. In place of x1, use 4. Slope is given as  2.So m = 2. So


point slope formula :  Y - Y1  =  m (X-X1)


Y  - 3  = 2 (X-4)


More Practice:  Your point is (-1,5). The slope is 1/2. write the equation that describes this line in point-slope form


point slope formula : Y - Y1 = m (X  - X1)


y - 5  =  1/2 (X-(-1))


y - 5   = 1/2 (X + 1)

Students can also learn about x and y intercepts also.

Stuck on any of these topics Slope Intercept Form, geometry problems try out some best online tutoring math website.

Point Slope Form of Line - Summary

Point slope form is all about a given point and slope and framing out an equation that describes the straight line which is to be graphed,  its not too complicated to learn. Just the one line formula is required.

This equation is often also written as :   y- y1 = m(X - X1)

The above equation is called the point slope form of line.
The resulted graph is called the straight line..
A given point P (x1, y1)
The slope of line = m

Students can get more help on the topic from Geometry help available online.

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