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.
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