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.