Formulas & Properties/Algebra 1
Slope Formula
m=y2-y1
x2-x1
*Slope is always Rise on a graph.
Run
Distance Formula
√(x2-x1)2+(y2-y1)2
Midpoint Formula
x1+x2 , y1+y2
2 2
Commutative Property-Says that you can add or multiply numbers in any order.
Addition: 5a+4=4+5a
Multiplication: 5•a=a•5
Associative Property-Says that you can group numbers in a sum or product in any
way and still get the same answer.
Addition: (9+2)+5=9+(2+5)
Multiplication: Same as Addition
Distributive Property-It tells you that if a term is multiplied by terms in parenthesis, we
need to distribute the multiplication over all the terms inside.
Ex: 6(9a+2)=54a+12
Identity Property of Addition-It tells you that zero added to any number is the number
itself.
Ex: 5+0=5
Identity Property of Multiplication-It tells you that the number 1 times any number
gives the number itself.
Ex: 5x1=5