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
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.