S lope Formula

2 1

2 1

y ym

x x

−=−

Dis tance Formula

2 22 1 2 1( ) ( )d y y x x= − + −

Midpoint Formula

1 2 1 2,2 2

x x y y+ + =

Vertical Lines

•Think vertebra to help with visual•Undefined S lope! (cannot walk up walls )•Form x=#

Horizontal Lines

•Think horizon to help with visual•S lope = Zero (walking acros s left to right there is no incline or decline)•Form y=#

S lope-Intercept Form

y mx b= +

S tandard Form

Ax By C+ =•x and y on the same s ide•A is pos itive•No fractions

Point-S lope Form

1 1( )y y m x x− = −•helps to find b and write the equation of a line all at once

Parallel Lines

•Do not intersect•Have the same s lopes•S ymbol: ||

Perpendicular Lines

•Intersect at a right angle/90⁰•Have s lopes that are oppos ite, reciprocals of each other (flip it and switch it)•S ymbol: ⊥

Quadratic Formula

2 4

2

b b acx

a

− ± −=

X-intercepts

•A lso known as roots and zeros•Where the graph cros ses the x-axis•Plug 0 in for y and solve for x•Answer: (#,0) as an ordered pair

y-intercepts

•Where the graph cros ses the y-axis•Plug 0 in for x and solve for y•Answer: (0,#) as an ordered pair