Introducing Slope

Introduction

To Slope

Slope is a measure of
Steepness.

Multiple Choice

What type of slope

• undefined

• zero

• positive

• negative

Multiple Choice

what type of slope

• negative

• positive

• undefined

• zero

Change y

Change x

Rise
Run

Slope is a ratio of
y to x

=

If given 2 points on
a line, you may find
the slope using the

Formula…
y2 – y1
m =

x2 – x1

2. Find the change of y and the change of x by subtracting

3. Write the slope as the change in y over the change in x.

1.) Find the slope of the

line through the

points (3,7) and (5, 19).

2) Find the slope of the line that passes
through the points (-2, -2) and (4, 1).

When given points, it is easier to use the formula!

Multiple Choice

1. Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Multiple Choice

What is the slope of the line through the points (1, 2) and (8, 6)?

• 7/4

• 4/7

• 5/6

• 6/5

Determine the slope of a line with a graph
Start by choosing 2 points ON THE LINE

Then count the number of times you rise then run

Then write the slope as y over x

When given the graph, it is easier to apply

“rise over run”.

Start with the lower point and count how
much you rise and then how much you run to get to the other point

Determine the slope of the line.

run

rise

• This is called the

Triangle Method

• The slope is positive since

the line is increasing

Determine the slope of the line.

The line is decreasing (slope is negative).

Find points on the graph.
Use two of them and
apply rise over run.

Multiple Choice

Find the slope

• -3

• 3

• 1/3

• -1/3

Multiple Choice

Find the slope:

• 2

• -2

• 1/2

• -1/2

Multiple Choice

What is the slope of the graph?

• zero

• undefined

• 1

• -1

What is the slope of a horizontal line?

The line doesn’t rise!

All horizontal lines have a slope of 0.

What is the slope of a vertical line?

The line doesn’t run!

All vertical lines have an undefined slope.

Tables

x

3

6

9

12

y

2

4

6

8

Find the slope by using the formula. Choose 2 points from the graph.

Multiple Choice

Find the slope from the table.

• -4

• 1

• 4

• -2

Multiple Choice

Find the slope from the table.

• 1/2

• 2

• -1/2

• -2

y=mx+b

Slope y-intercept

Multiple Choice

In the equation y=mx+b, m is the ____.

• Slope

• Y-intercept

• X-intercept

• Origin

Multiple Choice

In the equation y=mx+b, b is the ____.

• Slope

• Y-intercept

• X-intercept

• Origin

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

What is the slope in the equation y=2x + 3?

• 2

• 3

• 5

• Cannot be Determined 

Important Information

Slope is sometimes referred to as the “rate of change” between 2 points.

The slope is the coefficient of x
The y-intercept is the constant
m-refers to the slope & b- y-intercept
Slope is always y over x