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Point Slope Form Tutorial

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Point Slope Form Definition:
     Point slope form is also called as point - gradient form. Point Slope Form is used to generate the Equation of a straight line passing through a given point with a slope.

  Formula:

Point Slope Form :
Point slope form = y - y1 = m(x- x1)
where
              (x1, y1) are the point on the line,
              m = Slope of the line

Point slope form Diagram

Point slope form Example:
Find the equation of the line that passes through (-3, 2) with slope of 2.

 x1 = -3,
 y1 = 2 and
 slope m = 2.

  Substitute in the formula as :

           y - y1 = m(x- x1).

            y - (2) = 2(x - (-3))

            y - 2 = 2(x + 3)

            y - 2 = 2x + 6

           Equation = 2x + 6 -y + 2

            Equation of the Line = 2x -y + 8

The above example will clearly illustrates how to calculate the Point slope form manually.



This tutorial will help you dynamically to find the Analytical Geometry problems.