SOLUTION: The line graph describes the target Heart Rate, in beats per minute, of a person, age in years, who is exercising. The goal os to get the number of heart beats per minute, to this

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Question 146134: The line graph describes the target Heart Rate, in beats per minute, of a person, age in years, who is exercising. The goal os to get the number of heart beats per minute, to this target level. Write the equation of the line, points are (30, 136) and (70, 104). What is the rate of change in the target heart rate?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

First let's find the slope through the points and


Start with the slope formula.


Plug in , , , , ,


Subtract from to get


Subtract from to get


Reduce


So the slope of the line that goes through the points and is


This means that the rate of change is


Now let's use the point slope formula to find the equation of the line:


Start with the point slope formula


Plug in , , and


Distribute


Multiply


Add 136 to both sides.


Combine like terms.


Simplify


So the equation that goes through the points and is

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