math 1 formulas study guide

A(bx + c) = ab

A(b+c) = ab + ac

Ab(a+c) = ac

b(a + c) = ab + ac

Ab + bc = y

Ax + bc = c

Ax + By = C

By + Ax = C

M= y2-y1/x2-x1

M= x2-x1/y2-y1

M= 2x + y2

M= 2y + x1

Y=my+b

Y= ax + b

Y= bx + a

Y= mx + b

y= mx + k

Y= kx (k=y)

Y= kx (k=m)

Y= km + x

Opposite reciprocal slopes & y-intercept same or different

Same slopes, different variables

Opposite reciprocal, no slope

Same reciprocal, different slopes

Different slope

Same slope

Different slope/same y-intercept

Same slope/different y-intercepts

Y=ab^x, a ≠ 0, b>0, but b ≠ 1

Y= ax^x b≠0 a>0 but b≠1

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Axis of symmetry

y= a(1-t)^r

y= 1(r-t)

y= a(1+r)^t

y= a(1-r)^t

y= a(t-r)^1

y= (r+1)^t

y= (t-1)^r

y= a(1-r)^t