Here are some equations and graphs. Match each graph to one or more equations that it could represent. Be prepared to explain how you know.
A has a negative slope and y intercept = 0. B is horizontal with positive y intercept. C has positive slope and y intercept = 0. D has positive slope and negative y intercept. E is a vertical line with negative x intercept. F has a negative slope and positive y intercept.
Choose either Graph D or F. Let represent hours after noon on a given day and represent the temperature in degrees Celsius in a freezer.
In this situation, what does the -intercept mean, if anything?
In this situation, what does the -intercept mean, if anything?
10.3
Activity
Connecting Equations and Graphs
A has a negative slope and y intercept = 0. B is horizontal with positive y intercept. C has positive slope and y intercept = 0. D has positive slope and negative y intercept. E is a vertical line with negative x intercept. F has a negative slope and positive y intercept.
Without substituting any values for and or using technology, decide whether Graph A could represent each equation, and explain how you know.
Write a new equation that could be represented by:
Graph D
Graph F
On this graph, represents minutes since midnight and represents temperature in degrees Fahrenheit.
Explain what the intercepts tell us about the situation.
Write an equation that relates the two quantities.
Glossary
None
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