SLOPE

SLOPES ARE COMMONLY ASSOCIATED WITH MOUNTAINS.

THE SLOPE WE ARE STUDYING IS ASSOCIATED WITH THE GRAPH OF A LINE.

DEFINITIONS OF SLOPE

The tilt or inclination of a line

The ratio of vertical change to horizontal change.

The change in y over the change in x

TILT OR INCLINATION

VERTICAL CHANGEHORIZONTAL CHANGE

This ratio is also known as

HOW MANY POINTS DO YOU NEED TO DRAW A LINE?

One

Two

Three

GRAPH (3,2) AND (-1,-1)

DRAW A LINE THROUGH THE POINTS.

NOW THAT WE HAVE OUR LINE LETS FIND ITS SLOPE.

Remember 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

34

FIND THE SLOPE OF THE FOLLOWING LINE.

THE SLOPE IS…

12

FIND THE SLOPE OF THE LINE.

THE SLOPE IS….

-3

FIND THE SLOPE OF THESE LINES.

THE SLOPE IS…Black line = 3

Red Line = 1

FIND THE SLOPE OF THESE LINES

THE SLOPE IS…

Orange line 0

Green Line Undefined

LET’S DRAW A LINE USING SLOPE.

What else do you think you need besides the slope in order to draw a line?

A point!

IF YOU KNOW THE SLOPE AND ONE POINT ON THE LINE YOU CAN DRAW THE LINE.EXAMPLE: SLOPE IS 1/3 AND THE POINT (-2,-1)

NOW YOU DRAW A LINE.Given: slope is 2/3 and the point is (1,0)

Given: slope is –3 and the point is (–2,4)

lope is 1 and the point is (2,3)

THE GRAPHS ARE…

STUDENT ACTIVITY

You will now receive a worksheet. You are to find the slope of a line and draw a line given the slope and a point. Turn the worksheet in when completed.

WORK TIME

CHANGE IN Y OVER THE CHANGE IN X

The formula for finding the slope of a line.

CLASS ACTIVITY

Click on the following link for slope practice.

CLOSING ACTIVITY

You will receive a second worksheet. Given 2 points, find the slope using the slope formula. You will turn in the worksheet.