Slope of a line - hancockhighmath

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Transcript Slope of a line - hancockhighmath

Algebra Notes - Slope of a Line
Solve for Y
2x  4 y  8
Can’t add or sub
these
Why?
They are not
Like Terms
 We want y by itself
 Move the x term (do the
opposite + or -)
 Move the term in front
of y (do the opposite x
or
)
 Slope =_____
 Y-intercept = ___
write it as

D
________
Slopes
________
Slopes
m
C
m
B
E
m
A
Read line from left to right
Going up—______
Going down--________
Types of lines
Angles up
Slope is ______
Angles down
Horizontal
Vertical
Slope is ________
Slope is ______
Slope is _____
Find slope from a graph
Going up is Positive


right is
left is
Negative
Positive



Going down is Negative
Slope is a fraction
How far did you go
up/down?
Over
How far did you left/right?


rise
up
/
down
Slope =

run left  / right 
Write this
on notes
B
Slope 

Slope 

Read line from left to right
Going up—
Going down--
A
Find slope from a graph
Going up is Positive


right is
left is
Negative

Positive



Going down is Negative
Pick two points on the grid
Starting from left pt, count
up or down on grid
Write down that number in
the numerator
Count left or right to next
point
Write down this number in
denominator
This fraction is your slope
Slope 

C
D
Slope 

Slope 

E
Slope 
Read line from left to right
Going up—
Going down--
F

Steps to find slope from 2 pts

(x1, y1) (x2, y2)
(2, 7) (8, 3)

Formula

(it will be given to you)
y2  y1
m
x2  x1

Label your points
Example 1


m
m
(x1, y1) (x2, y2)
(0, 4) (1, 2)


y2  y1
m
x2  x1




Label your points
Example 2


m
m
y2  y1
m
x2  x1

(x1, y1) (x2, y2)
(7, -4) (9, -1)


Label your points



Plug points into
formula
Simplify top and
bottom, then divide
the two numbers
Calculator (y2 - y1)
divide (x2- x2) enter
y2  y1
m
x2  x1
Example 3-4
3)


m
m
(x1, y1) (x2, y2)
(10, 5) (3, 5)


0
(x1, y1) (x2, y2)
4) (-4, 2) (-4, 0)
m
m


