ASSOCIATED WITH MOUNTAINS . T HE SLOPE WE ARE STUDYING IS ASSOCIATED - PowerPoint PPT Presentation

D AY 21 – S LOPE

S LOPES ARE COMMONLY ASSOCIATED WITH MOUNTAINS .

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

D EFINITIONS OF S LOPE  The tilt or inclination of a line  The ratio of vertical change to horizontal change.  The change in y over the change in x

T ILT OR I NCLINATION

V ERTICAL C HANGE H ORIZONTAL C HANGE This ratio is also known as 𝑺𝒋𝒕𝒇 𝑺𝒗𝒐

H OW MANY POINTS DO YOU NEED TO DRAW A LINE ?  One  Two  Three

G RAPH (3,2) AND (-1,-1)

D RAW A LINE THROUGH THE POINTS .

N OW THAT WE HAVE OUR LINE LETS FIND ITS SLOPE . Remember we are finding the following ratio: Vertical or Rise Horizontal Run

V ERTICAL C HANGE OR THE R ISE 3

H ORIZONTAL C HANGE OR THE R UN 4 3

V ERTICAL R ISE H ORIZONTAL R UN 3 4

F IND THE SLOPE OF THE FOLLOWING LINE .

T HE SLOPE IS … 1 2

F IND THE SLOPE OF THE LINE .

T HE SLOPE IS …. -3

F IND THE SLOPE OF THESE LINES .

T HE SLOPE IS …  Black line = 3  Red Line = 1

F IND THE SLOPE OF THESE LINES

T HE SLOPE IS …  Orange line 0  Green Line Undefined

L ET ’ S DRAW A LINE USING SLOPE . What else do you think you need besides the slope in order to draw a line? A point!

I F YOU KNOW THE SLOPE AND ONE POINT ON THE LINE YOU CAN DRAW THE LINE . E XAMPLE : SLOPE IS 1/3 AND THE POINT (-2,- 1)

N OW 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)

T HE GRAPHS ARE …

S TUDENT A CTIVITY 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.

W ORK T IME

1/2 -2/3

1/2 -3

-1 1

undefined 0

Given a point and a slope draw the line.

C HANGE IN Y OVER THE CHANGE IN X The formula for finding the slope of a line.

C LASS A CTIVITY Click on the following link for slope practice.

C LOS ING A CTI OSIN CTIVITY VITY You will receive a second worksheet. Given 2 points, find the slope using the slope formula. You will turn in the worksheet.