 Slope is the rate of change.  Vertical change rise Horizontal changerun.

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Presentation transcript:

 Slope is the rate of change.  Vertical change rise Horizontal changerun

 The unit rate is the rate for 1 unit.  To find the unit rate, reduce the slope so that the 2 nd number equals 1.

 Unit rate shows how the dependent value (y) changes when the independent value (x) increases by 1.

XY xY

y = 5x – 2 y = 5x + 8 y = 5x

 When comparing rates of change in graphs, determine which line increases or decreases at the quickest rate in order to determine which has the greatest rate of change.

 When comparing rates of change in equations, determine which “m” value is greater in order to determine which has the greatest rate of change. (Remember that “m” is the coefficient of the x value in the equation.) y = 2x – 3 y = 4x + 1 y = x

 What is the cost per gallon?  Draw a graph to represent the relationship between the number of gallons and the cost.  In this situation, what is the meaning of the slope of the line that you drew?