happy wednesday! tests are not graded new hw stamp log today binder organization
TRANSCRIPT
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