Equation of a LineA series of free Intermediate Algebra Video Lessons from Brightstorm online Algebra series.
Slope-Intercept Form of a Line Slope-intercept form of a line is a general formula for the equation of a line. Using the slope-intercept form of a line helps in finding the slope of a line from an equation and the intercept directly from the equation. This is great because it shows how to graph a line using y=mx+b and can be quite useful for applications of linear equations.
Point-Slope Form of a Line Point-slope form of a line is one method to write the equation of a line. Start with the slope equation, which is basically the difference between two points, and then rearrange the terms to obtain the point-slope form of a line. The point-slope form of a line provides a formula that is useful in finding the slope of a line from an equation and a point the line passes through.
Standard Form of a Line We will commonly see lines expressed standard form, especially when we look at and write systems of linear equations. The standard form of a line puts the x and y terms on the left hand side of the equation, and makes the coefficient of the x-term positive. While standard form is commonly, we sometimes rewrite a line in slope-intercept form in order to graph it.
Applications of Linear Equations We often see math applied to the real world through word problems, and the applications of linear equations are seen throughout all our math courses after Algebra. To understand applications of linear equations we need to have an understanding of slope, how to interpret a graph, and how to write an equation. In upper-level Algebra, we apply systems of linear equations to these problems as well.
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