Understanding Linear Functions and Slope

What is the slope of the graph of y=12x-19

• -19

• -12/19

• 19/12

• 12

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.

What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

• 14 ft/yr

• 3 ft/yr

• 7 ft/yr

• 10 ft/yr

What is the equation in slope-intercept form of the line that passes through the points (- 4, 2) and (12, 6)?

• y = 0.25x + 3

• y = 0.25x − 4.5

• y = 4x + 18

• y = 4x − 42

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

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The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

• f (n) = −3n + 24

• f (n) = −1/3 n + 16

• f (n) = −3n + 64

• f (n) = −1/3 n + 8

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

• -9/2

• 2/9

• -2/9

• 9/2

What is the slope in the equation y=2x + 3?

• 2
• 3
• 5
• Cannot be Determined 

What type of slope does this line have?

• Positive

• Negative

• Zero

• Undefined

What is the y-intercept?

• -4
• 3
• 4
• 4/3

What is the zero of the function, if any?

• x = 0

• x = 5

• x = 6

• The function has no zero