1-11 Slope of a Line

1-11 Slope of a Line

Notes for L44/45

Warm Up: Compare & Contrast

Looking at lines A, B and C, find one similarity and one difference. You will enter your thinking on the next slide.

Open Ended

Enter your responses: Give one similarity and one difference between Lines A, B and C.

Notebook: Learning & Habit Objectives

• Learning: I will find the slope of a line

• Habit: I will use graph paper for precise graphing work

Success Criteria

• I know when slope is positive, negative or zero

• I can graph a line exactly using graph paper

• I can express slope as a ratio

Notebook: Types of Slope

The slope of a line is the ratio that describes the line’s steepness and direction.

Multiple Select

Which lines have a positive slope? Select ALL correct answers.

• A

• B

• C

• D

• E

Notebook: The Slope Ratio

We express the slope of a line as a ratio:

 $\frac{rise}{run}$  which means  $\frac{change\ in\ y}{change\ in\ x}$  

Notebook: Slope

• Locate two exact points on your graph & connect with a right triangle path

• The rise is the vertical leg & The run is the horizontal leg

• Is your line increasing or decreasing?

• Write your

   $\frac{rise}{run}$  ratio & include a - sign if negative 

Example 1: Finding Slope from a Graph

You will submit answers on the next slides

Fill in the Blanks

The rise is

Fill in the Blanks

The run is

Multiple Choice

This slope is

• increasing, positive

• decreasing, negative

Fill in the Blanks

Give the slope of the line as a ratio (not a decimal or mixed number)

Notebook: Finding Slope from an Equation: y = 2x (We will do this in class)

• Make a table

• Choose three easy values for x

• Complete the table & plot points

• Now draw your right triangle and express slope as

   $\frac{rise}{run}$  

Fill in the Blanks

Exit Ticket: Find the slope of the line y = 3x -1

Follow the steps we practiced on the last slide.

Give your slope as a reduced ratio.

The slope of the line y = 3x - 1 is