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Happy Wednesday!. Tests are not graded New hw stamp log today Binder organization. After Test Worksheet. Questions?. Warm ups. Graph and label the following Points. A: B: C: D: E: F:. (3,2) (-5,1) (-4,3) (0,-2) (4,0) (-2,-3). 6-1 Slope. - PowerPoint PPT PresentationTRANSCRIPT
Happy Wednesday!
Tests are not graded
New hw stamp log today
Binder organization
After Test Worksheet
Questions?
Warm ups
Graph and label the following Points
A:
B:
C:
D:
E:
F:
(3,2)
(-5,1)
(-4,3)
(0,-2)
(4,0)
(-2,-3)
6-1 Slope
Objective: To identify the slope of a graph and to find the slope of a line given two points on the line.
Slope
Think, pair, share: What do you know about slope? Where might you see slope? What might we use slope for?
Slope Slope is the slant of a line slope = m = rise
run
Always write as an improper fraction in simplest form
rise = up (+) down (-)
run = right (+) left (-)
Finding Slope on graph
Generalizations
Can we make any generalizations? You can start at either point
+ −positive
negative
Positive slope writes up, negative slope writes down
special cases
How do these lines look different? Vertical and horizontal
2.
rise = 4
run = 0
Error – can’t divide by 0!!
Undefined
= no slope
Undefined5.
rise = 0
run = 2 = 0
Zero slope
Slope
Directions: Find the slope given two points.
(x1,y1) (x2, y2)
m = y2 − y1
x2 − x1
Plug the numbers into the formula!
m = slope
Examples
Find the slope given two points.
1. (3,10) (12,5)
m = 5 − 10
12 − 3
x1 y1 x2 y2
= -5
9
2.(-1,5) (-3,7)
m = 7 – 5 -3 – (-1)
m = 7 – 5 -3 + 1
x1 y1 x2 y2
= 2
-2= -1
Undefined
(-2,3) (-2,-3)
m = -3 – 3
-2 – (-2)
Zero on bottom of fraction #/0 Vertical line Same x’s in ordered pairs
x1 y1 x2 y2
= -3 - 3
-2 + 2
= -6
0
= Undefined
Zero Slope
(-1,4) (2,4)
m = 4 – 4
2 – (-1)
Zero on top of fraction 0/# horizontal line Same y’s in ordered pairs
x1 y1 x2 y2
= 4 - 4
2 + 1
= 0
3
= Zero slope
Tell a partner
How do you find the slope given a line? How do you find the slope given two points? What does a positive/negative slope look like?
Homework
Rate of Change and Slope Worksheet