Barrons AP Calculus

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INVERSE TRIGONOMETRIC   FUNCTIONS

ANALYTIC GEOMETRY

Rectangular Coordinates

DISTANCE

The distance    d   between two points, P 1 (x 1 ,  y 1 )   and P 2 (x 2 ,  y 2 ),  is  given   by

EQUATIONS   OF  THE STRAIGHT    LINE

POINT-SLOPE FORM.   Through P 1 (x 1 ,  y 1 )   and with    slope   m:

y   −   y 1     =   m(x –   x 1 ).

SLOPE-INTERCEPT FORM.   With    slope   m   and y-intercept b:

y   =   mx + b.

TWO-POINT   FORM.   Through P 1 (x 1 ,  y 1 )   and P 2 (x 2 ,  y 2 ):