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