Educator

Point Slope Form of an Equation

• The point-slope form of a linear equation is an equation of the form y – y₁ = m(x – x₁), where m is the slope of the graph and the point (x₁, y₁) is a point that lies on the graph.

• If you are given a point that lies on a line and the slope of the line, you can immediately write the equation in point-slope form.

• If you are given two points that lie on a line, first find the slope using the formula for the slope, then use either point to write the equation in point-slope form.

• You now have 3 forms of a linear equation: point-slope, slope-intercept, and standard form. You can convert from one form to the other two forms using algebraic transformations of the given equation.