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Slope-Intercept Form

"The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point wher ...

Slope

"One of the most important things to understand about lines is the slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in t ...

Difference Quotients

"To find the slope of the secant line between two points in a function, we use difference quotients. Difference quotients are used with limits in the definition of the derivative and are important to ...

Definition of Slope

"One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing t ...

Connecting Graphs, Tables, and Equations

"In Algebra we do a lot of work with lines and their graphs. Connecting graphs, tables, and equations of lines is an important practice so that we can to help understand lines and how to graph them. ...

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 ...

Point Slope Form

"Sometimes we're only given a couple of points on a line and then asked to write a linear equation. When given this information, it's easiest to use point slope form. Point slope form can be written u ...

Parallel and Perpendicular Lines

"There are special rules to help us find the equation of a line given an equation of a line that is parallel or perpendicular to it. Parallel and perpendicular lines have related slopes. Parallel line ...

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 linea ...

Angle Inclination of a Line

"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination, theta=tan-1(m), or m=tan(t ...

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