# ALGEBRA FORMULA SUMMARY

Slope of line through (x_{1}, y_{1}) and (x_{2}, y_{2}):

Point- slope 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 y-intercept 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

• Exponential Decay :
where k < 0

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