SOLUTION: why is the value of a always the y intercept in an exponential equation

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Question 801592: why is the value of a always the y intercept in an exponential equation
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

It's because e0 = 1

The exponential equation is 

y = a·ex

The y-intercept is found by substituting 0 for x and
solving for y

y = a·e0

Since any number to the 0 power (with only one exception) is 1,
we get:

y = a·(1)

y = a

So a is the y-coordinate of the y-intercept.

Edwin
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