Linear Relationships and Slopes

This graph shows the amount of weight Lucy lost over a 5-week period. What does the slope of this graph represent?

• number of weeks

• weeks per pound lost

• pounds lost per week

• maximum number of pounds lost

Write an equation that models the linear relationships in the table

Write an equation that models the linear relationship in the graph.

A line has a zero slope and passes through the point (-5,4). What is the equation of the line?

Write an equation for the line that has a slope of 1/2 and passes through the point (-2,5).

Which of the following are linear functions? Select all that apply.

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Which equation can be used to graph all the points on the line?

Which graph represents a linear function?

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Which two functions meet the following criteria?

• The y-intercepts have a difference of 3.

• The slopes are both negative.

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Two companies offer tractors for rental.They each require a deposit and then a charge per hour to use a tractor. Company #1 charges a $25 deposit and then $18 per hour. The cost to use a tractor from Company #2 is shown in this table. Which company charges more per hour to use the tractor and how much more?

• Company #1, $5

• Company #2, $5

• Company #1, $4

• Company #2, $4