Flashcards
Chapter 5 Math
Cards in this deck (8)
- 1SlopePositive slope=upward climb up hill
Negative slope=downward climb down hill
Other words for slope
rise/run
M
Rate of change
Change in y /change in s
m=(y2 - y1)/(x2-x1)
Ways to find slope
table
X Y
-7 5
-4 4
-1 3
2 2
m=-1/3
Graph
Two points
(-7, 3) (4, 9)
m=(y2-y1)/(x2-x1)
m=9-3 / 4+7
m=6/11 - 2Direct Variationy=kx
k= constant of variation
y=7x yes
y=2x-1 No
2x+3y=4 No
2y=x Yes
Graph
Forms a line
Passes through the origin(0,0)
Writing Equations
Y varies directly with x and goes through (5,35)
y=kx
35 = k(5)
1.) Use formula y=kx
2.) plug in (x,y
3.) solve to find k
4.) substitute k into y=kx
k= rise/run - 3Inverse Variationy=k/x k=xy
Graph
Write equation
(6,-2) k= 6(-2) k=-12 y= -12/x - 4Slope Intercept Formy=mx+b
m=slope b= y intercept
Write
slope =⅕ y int= -8
y=⅕x-8
Table
Graph
Better start with b
Plot b as first point
rise/run to find 2 more points
Specials
Horizontal line
0 slope
Passes through y axis
0/2 - 5Linear Transformationsy=x is parent function
M changes steepness
m>1 steeper
m<1 not as steep
Negative m makes line neg
B moves the line up or shifts - 6Standard FormAx+By=C
X and y are on the same side
No fractions or decimals
A cannot be negative
Must be simplified
X and Y intercepts
X int: make y zero
2x+3(0)=12
2x=12
2 2
x=6
Y int: make x zero
2(0)+3y=12
3x=12
3 3
y=4
Graph - 7Point Slope Formy-y=m(x-x)
Graph - 8Parallel and Perpendicular// is parallel
Slopes are the same
Intercepts are different
Line f//line g
Perpendicular
Opposite reciprocals
Information
- Description
- Flashcards on Chapter 5 Math, created by Peyton Smalley on 15/12/2016.
- Created by
- Peyton Smalley · Dec 2016
- Updated
- Dec 16, 2016
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