y=mx+b

Graph a line using slope and y-intercept and identify the slope and y-intercept from a linear equation.

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Requirements

Graph lines using a slope and a y-intercept. Identify the slope and y-intercept from the equation of a line in slope-intercept form. This activity is useful for algebra students learning to graph lines for the first time, or for students who may need extra help or review with this topic. y=mx+b is the second 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.A.3 Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight 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.

Copyright
© Copyright The Concord Consortium

Record Link
<a href="">The Concord Consortium. y=mx+b. Concord: The Concord Consortium, 2013, November 15.</a>

AIP
y=mx+b (The Concord Consortium, Concord, 2013, November 15), WWW Document, (https://concord.org/).

AJP
y=mx+b (The Concord Consortium, Concord, 2013, November 15), WWW Document, (https://concord.org/).

APA
y=mx+b. (2013, November 15). Retrieved 2017, August 16, 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.

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

Grade Level
Middle School, High School
Subject
Mathematics
Focus Area
Modeling and Simulation
Rating
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