Chapter 1 Formula
Termini in questo insieme (26)
Coordinate Plane
A graph with two number line
X-Intercept
The graph crosses the x-axis
To find the x-intercept ---> set y=0
Y- Intercept
The graph crosses the y-axis
To find the y-intercept ---> set x=0
Distance between two points
Formula: 𝑑= √(𝑥2−𝑥1)2+(𝑦2−𝑦1) 2
Midpoint Formula
(x^1+x^2/2, y^1+y^2/2)
Circle
(x-h)^2+(y-k)^2=r^2
Relation:
A connection between x &y values
Function
A special type of relation where each input has at most one output
Finding Domain of Equation
No negative number under square root
For fractions , denominators cannot equal 0
[,] ≤, ≥
Include
Closed Circle
(,) < , >
Exclude
Open Circle
Direct Variations
"Verys Directly"
y=Kx
Inverse Variation
"varies Inverly"
Time= K/p
Y= k/x
Combined (Joint) Variations
y=Kxz
Slope
m= y^2-y^1/x^2-x^1
rise/run
If line goes up from left to right
slope is positive
If line goes down from left to right
slope is negative
Horizontal Line
slope is ZERO
Y=#
Vertical Line
Slope is Undefined
X=#
Slope Intercept Form
Y=mx+b
Point Slope Form
Y-y^1=m(X-x^1)
Conditional
ONE Solution
Identity
TRUE Statement
(all real numbers)
Inconsistent/Contradiction
FALSE Statement
empty set
Parellel Line
Slopes = equal
Y-Intercept does not equal
Perpendicular Lines
Slope have opposite signs and are reciprocals
Lines intersect at right angle (90)