Warm Up

HW Check – 4.3

CORE Time – Rate of Change Stations ActivityFold your paper so that you have 4 boxes on

front & back.

Label them A, B, C, D & E

Stations are hung around the roomYou must visit each of the 5 stations in the next

30 minutes.

No more then 3 people per station at any time!

Slope of a line

What is the meaning of this sign?

A. Icy Road AheadB. Steep Road AheadC. Curvy Road AheadD. Trucks Entering

Highway Ahead

What does the 7% mean?7% is the slope of the road.

It means the road rises 7 feet vertically for every 100 feet

horizontally.

7%

So, what is the meaning of slope???Slope is the steepness of a line.

7 feet

100 feet

When given the graph, it is easier to apply “rise over run”. Rise – is the vertical change.

Run – is the horizontal change.

1) Determine the slope (rate of Change) of the line.

Find the slope:

2)

3)

Slope can be expressed different ways: ****Slope is the same as rate of change****

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.

2 1

2 1

( ) vertical change

( ) horizontal change

y y risem

x x run

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

2 1

2 1

( )

( )

y ym

x x

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

Find the slope (rate of change) of the line that passes through (3, 5) and (-1, 4).

You try!Find the slope of the line that goes through the points (-5, 3) and (2, 1).

What is the slope of a horizontal line?

The line doesn’t rise!

All horizontal lines have a slope of 0.

H0y

What is the slope of a vertical line?

The line doesn’t run!

All vertical lines have an undefined slope.

VuX

VuX and H0yVuX: Vertical lines have undefined

slope with an equation x = a number.

HOy: Horizontal lines have zero as their slope with an equation y = a number.

Coming up…HW 4.3 tonight

Quiz 4.1 – Friday