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ALGEBRA FORMULA SUMMARY
Lines
Slope of line through (x_{1}, y_{1}) and (x_{2}, y_{2}):
Pointslope equation of line through (x_{1}, y_{1}) with slope m:
y  y_{1} = m(x  x_{1})
Slope intercept equation of line with slope m and yintercept b:
y = b + mx
Definition of Zero , Negative , and Fractional Exponents
and,
in general,
and, in general, a
Also,
1. For example,
2.For example,
3. For example,
Definition of Natural Log
y = ln x means e^{y} = x, for example: ln1 = 0, since e^{0} = 1.
Rules of Natural Logarithms
ln(AB) = lnA + lnB
= lnA  lnB
lnA^{p} = p lnA
Identities
Exam 1
• Interest compounded annually :
• Interest compounded continuously:
• Profit = Revenue  Cost
• Revenue = (price)×( number sold )
• Exponential Growth : where k > 0
• Exp onential Decay :
where k < 0
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