IntroductionTo Slope

Slope is a measure ofsteepness.

What is the meaning of this sign?

1. Icy Road Ahead2. Steep Road Ahead3. Curvy Road Ahead4. Trucks Entering

Highway Ahead

WHAT DOES THE 7% MEAN?

7% is the slope of the road. It means the road drops 7

feet vertically for every 100 feet horizontally.

7%

So, what is slope???Slope is the steepness of

a line.

7 feet

100 feet

If a line goes up from left to right, then the slope is positive

If a line goes down from left to right, then the slope is negative

Horizontal lines have a slope of zero while vertical lines have no slope = undefined

slope = 0

no slope

Remember…

PositiveNegative

Zero

Undefinedor

No Slope

IN REVIEW…

A line has a positive slope if it is going uphill from left to right.

A line has a negative slope if it isgoing downhill from left to right.

Graph (3,2) and (-1,-1)

Draw a line through the points.

Now that we have our line lets find its slope.

We are finding the following ratio:Vertical or Rise

Horizontal Run

Vertical Changeor the Rise

3

Horizontal Changeor the Run

4

3

VERTICAL RISE HORIZONTAL RUN

34Slope =

Find the slope of the following line.

The slope is…

12

Find the slope of the line.

The slope is….

-3

Positive SlopeFind the slope of the line.

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

4 units up

1 unit right

(-1, 1)

(-2, -3)

Slope = change in y change in x

4 1

The slope of the line is 4.

or 4=

Negative SlopeFind the slope of the line.

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

2 units down

1 unit right

(-1, 1)

(-2, 3)

Slope = change in y change in x

-2 1

The slope of the line is -2.

or -2=

Negative SlopeFind the slope of the line.

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

                     

2 units down

3 units right

(-1, 1)

(2, -1)

Slope = change in y change in x

-2 3

The slope of the line is -2 3.

=

Your Turn

Find the slope of the line that passes through each pair of points. Hint: Graph the points first!

A. (-2, -4), (1, 5)

B. (0, 3), (4, -1)

C. (2, 2), (5, 3)

Answers

3

-1

3

1

Practice: Worksheet