Lines and the Coordinate Plane: Slope of a Line

think icon Think & Click: Problem Solving with Slope

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Find the rate of change between the two points: (6, 2) and (3, -3) where x is in minutes and y is in feet.
 
m equals negative 3 minus 2 divided by 3 minus 3, m equals negative 5 divided by negative 3, m is approximately equals to 1.67

The rate of change is approximately 1.67 feet per minute.
 
Suppose that the population of a city in 1960 was 52,100. In 2005, the population was 32,000. Find the rate of decrease.
 
m equals 32000 minus 52100 divided by 2005 minus 1960, m equals negative 20100 divided by 45, m is approximately equal to -447

The population decreased by approximately 447 people per year.
 
Find the rate of change between two points: (5, -3) and (-3, 1) where x is time is in seconds and y is in volts
 
m equals negative 3 minus 1 the group divided by the group 5 minus negative 1
= m equals negative 4 divided by 8= m equals negative 4 divided by 8

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