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# Reference - Linear Relationships, Slope, Y-intercept, Equations, Graphs

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354 KB|6 pages
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These reference pages explain what slope and y-intercept are, how to convert between equations and graphs, and even includes proofs for why m and b in the equation y=mx+b actually do give you the slope and y-intercept, respectively. I recommend having students keep these pages on their desks while they work so you can refer them to the relevant section if they forget how to do something rather than reteaching everything.

Slope and y-intercept

1. Explains what the slope and y-intercept are.
2. Discusses rise over run.

Equation of a Line in Slope-Intercept Form

1. Gives an example of an equation written in standard form, then converted into slope-intercept form, and discusses how the latter form makes it so much easier to determine the slope and y-intercept.
2. Gives examples of using equations to easily determine the slope and y-intercept of a line.

Proofs for m and b

1. Gives a proof of why b in the equation y=mx+b tells you where the line will crose the y-axis.
2. Gives a proof of why m in the equation y=mx+b gives you the rise and run between two points.

Equation to a Graph

1. Explains how to easily graph a line, given its equation.
2. Includes examples where there is only one variable such as y=-5 and x=-5.

Graph to an Equation

1. Explains how to write the equation of a line, given its graph.
2. Gives examples of when the line is horizontal or vertical.

Writing Equations from Points and Slope

1. Explains how to find the slope given two points.
2. Explains how to find the equation of a line given two points.
3. Explains how to find the equation given a point and slope.
Total Pages
6 pages
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