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# ALGEBRA FORMULA SUMMARY

Lines

Slope of line through (x1, y1) and (x2, y2): Point- slope equation of line through (x1, y1) with slope m:

y - y1 = m(x - x1)

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, Rules of Exponents

1. For example, 2. For example, 3. For example, Definition of Natural Log

y = ln x means ey = x, for example: ln1 = 0, since e0 = 1. Rules of Natural Logarithms

ln(AB) = lnA + lnB = lnA - lnB

lnAp = 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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