Finding The Slope of a Line Jennifer Prince 6/18/03.

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Finding The Slope of a Line

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Presentation transcript:

Finding The Slope of a Line Jennifer Prince 6/18/03

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 Change Horizontal Change This ratio is also known as Rise Run

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 orRise HorizontalRun

Vertical Change or the Rise 3

Horizontal Change or the Run 4 3

Vertical Rise Horizontal Run 3 4

Find the slope of the following line.

The slope is… 1 2

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 Blue Line-1/2

Find the slope of these lines

The slope is… Orange line0 Green LineUndefined

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) Given: slope is 1 and the point is (2,3)

The graphs are…

Work Time

Find the slope ( gradient ) of the lines : L1, L2, L3, L4 in the figure أوجد ميل المستقيمات : في الشكل L1, L2, L3, L4 Worksheet ( 1 ) m 1 = ………, m 2 = ……….., m 3 = ……….., m 4 = ……….. L 1 L 2 L 3 L 4 Zayed althani school Math department Mohamad badawi :

Draw lines : L1 & L2 such that : Worksheet ( 2 ) Slope of L1 = and passes through ( – 3, 5 ) Slope of L2 = 3 and passes through ( 3, – 4 ) – 3 4 Zayed althani school Math department Mohamad badawi :