Prerequisites for Calculus

Def: Increments

• If a particle moves from the point ( ) to the point ( ), the increments in its coordinates are

• and

1 1,x y

2 2,x y

2 1x x x 2 1y y y

Def: Slope of a Line

• Let and be points on a non-vertical line, L. The slope of L is

• m = = =

1 1 1( , )P x y 2 2 2( , )P x y

rise

runy

x

2 1

2 1

y y

x x

Name the four equations of lines and define each of them

1.

2.

3.

4.

Write an equation for the line through the point (3, 5) and is both parallel and perpendicular to the line y = 2x +4

Determine a function with the given parameters

X f(x)

-1 14/3

1 -4/3

2 -13/3

Do example 9 on page 7

Hwk: p. 9, #1-37 odd, 41,45,47-52