Worksheet: Graphing Linear Relationships with Slope & Unit Rate


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Note that this is a 2-Page worksheet so print only the pages you want. You will find explanations and examples on graphing proportional relationships on this page here.

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Proportional Relationships and Unit Rate (page 1 of 2)



1. (a) Complete the table below by calculating the distance traveled by a vehicle moving at 30 miles per hour.

Time (hours)01234
Distance (miles) 0 30 60 90 120


1. (b) Plot the time and distance values on the axes below.



1. (c) Calculate the slope of the line (Rise/ Run). What do you notice about the slope of the line and the vehicle’s unit rate or speed in miles per hour?

The slope of the line is 30. The slope of the line and the unit rate are the same.

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Proportional Relationships and Unit Rate (page 2 of 2)



2. Drawn a line from each of the unit rates (m.p.h.) to the graph and slope that they match.

30 m.p.h. 40 m.p.h. 20 m.p.h.
40 m.p.h.20 m.p.h.30 m.p.h.



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Related Resources

The various resources listed below are aligned to the same standard, (8EE05) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.



Coordinate Geometry

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Understand the connections between proportional relationships, lines, and linear equations