Learn Point Slope Form tutorial, definition, example, formula

Point Slope Form Tutorial

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Point Slope Form Tutorial

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.

Related Calculator:
>> Point slope form Calculator.

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