Linear Equations: Points, Intercepts, and Slopes, Oh My!

Graph lines using the x- and y-intercepts of equations and when given an equation in point-slope form.

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Requirements

Learn how to graph lines with two methods: using x- and y-intercepts and using point-slope form. First, solve for x- and y-intercepts to graph a line. Then, identify an ordered pair from a linear equation in point-slope form to graph a line using this point and the slope. This is the third of seven activities for teaching and learning linear equations in algebra: Ski Slope; y=mx+b; Points, Intercepts, and Slopes, Oh My!; Linear Word Problems; Solving Systems of Equations by Graphing; Systems of Equations Word Problems Part 1; Systems of Equations Word Problems Part 2.

» Lesson Plan and Student Assessment documents are also available.

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Common Core State Standards for Mathematics (2010):

CCSS.Math.Content.HSA-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

CCSS.Math.Content.HSA-REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

CCSS.Math.Content.8.F.B.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

<a href="">The Concord Consortium. Linear Equations: Points, Intercepts, and Slopes, Oh My!. Concord: The Concord Consortium, 2013, December 24.</a>

AIP
Linear Equations: Points, Intercepts, and Slopes, Oh My! (The Concord Consortium, Concord, 2013, December 24), WWW Document, (https://concord.org/).

AJP
Linear Equations: Points, Intercepts, and Slopes, Oh My! (The Concord Consortium, Concord, 2013, December 24), WWW Document, (https://concord.org/).

APA
Linear Equations: Points, Intercepts, and Slopes, Oh My!. (2013, December 24). Retrieved 2017, January 20, from The Concord Consortium: https://concord.org/

Disclaimer: The Concord Consortium offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure.

Requirements

This activity runs entirely in a Web browser. Preferred browsers are: Google Chrome (versions 30 and above), Safari (versions 7 and above), Firefox (version 30 and above), Internet Explorer (version 10 or higher), and Microsoft's Edge.

Related Resources

This resource is a part of the Concord Consortium's SmartGraphs project.

Middle School, High School
Subject
Mathematics
Focus Area
Modeling and Simulation
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