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.
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