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

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 orRise HorizontalRun

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 line0 Green LineUndefined

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

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.practice

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