FORMULAS YOU MUST MEMORIZE FOR THE EOC!
MIDPOINT FORMULA
Midpoint =
DISTANCE FORMULA
DIRECT VARIATION
SLOPE-INTERCEPT FORM OF A LINE
SLOPE (WORD FORM)
Slope =
SLOPE (EQUATION FORM)
ZERO AND NEGATIVE SLOPE
Hoy Vernox: Horizontal Line has Zero Slope, written y=
Vertical Line has No Slope, written x=
QUADRATIC FORMULA:
Where ax2 + bx + c = 0
FORMULAS YOU MUST MEMORIZE FOR THE EOC!
Midpoint: The point (coordinate) halfway between two points.
Formula:
Example:
Find the midpoint of (-3,5) and (6,-2)
http://fym.la.asu.edu/~tturner/MAT_117_online/Cartesian_plane/Cartesian_Plane.htm
FORMULAS YOU MUST MEMORIZE FOR THE EOC!
Distance Formula: Used to find how far apart 2 points/locations are located.
Formula:
Example:
Find the distance between (-3,5) and (6,-2).
http://www.teacherschoice.com.au/maths_library/analytical%20geometry/alg_15.htm
FORMULAS YOU MUST MEMORIZE FOR THE EOC!
Slope: How steep a line is. Can be positive (uphill) or negative (downhill, like the line graphed below)
Formula (Word Form):
Slope =
Example: Find the slope of the line below:
Slope = -6 = -1
12 2
The slope is negative because it is a downhill slope. The “rise” was -6, and the run was +12.
FORMULAS YOU MUST MEMORIZE FOR THE EOC!
Slope Formula (Equation Form)
Example: Find the slope of a line containing the points (5,-7) and (-2,4)
m = 4 – -7 = 11 = -11
-2 – 5
-7
7
Hoy Vernox:
Horizontal Lines have Zero Slope, written y=
Vertical Lines have No Slope, written x=
Zero Slope:
Equation y=3
No Slope:
Equation: x=-1
http://www.regentsprep.org/Regents/math/ALGEBRA/AC1/Rate.htm
http://www.sparknotes.com/math/algebra1/graphingequations/section4.rhtml
FORMULAS YOU MUST MEMORIZE FOR THE EOC!
Quadratic Formula: Used to Solve for X in a quadratic Equation.
Example 1: Solve this equation for x: x2 - 4x + 4 = 0
Solution:
What are the three coefficients (a,b,c)? Remember that "a" is the coefficient in front of the x2 term,
b is the coefficient in front of x, and c is that constant at the end.
Therefore, for this equation, a=1, b= -4, and c= 4.
Plug those values into the quadratic formula and solve for x:
Example 2: Solve for x: x2 + 2x = 3
Solution:
This equation isn't in the proper form -- we first need to subtract 3 from each side so there's a 0 on
the right:
x2 + 2x - 3 = 0
Now we can just use the quadratic formula to get our answers, given that a=1, b=2, c= -3:
http://www.freemathhelp.com/quadratic-formula.html