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Find and Use Slopes C HAPTER 3.4. H OW DO YOU FIND THE SLOPES OF A LINE GIVEN THE COORDINATES OF TWO POINTS ON A LINE ?

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Presentation on theme: "Find and Use Slopes C HAPTER 3.4. H OW DO YOU FIND THE SLOPES OF A LINE GIVEN THE COORDINATES OF TWO POINTS ON A LINE ?"— Presentation transcript:

1 Find and Use Slopes C HAPTER 3.4

2 H OW DO YOU FIND THE SLOPES OF A LINE GIVEN THE COORDINATES OF TWO POINTS ON A LINE ?

3 L INES AND S LOPE  Any linear line has a constant slope.  The slope is found by calculating the ratio of the rise and run.  There are 2 methods to find slope, graphically and algebraically.

4 T YPES OF S LOPE  Negative slope: falls to the right  Positive slope: rises to the right  Zero slope: looks like a horizontal line  Undefined slope: looks like a vertical line

5 S LOPE : A LGEBRAICALLY  To find slope algebraically you use the formula for slope:  You will be given 2 points then plug them into the formula.  (9, 4) and (11, 7)

6 F IND THE SLOPES OF THE FOLLOWING  (0, 5) and (2, 7)  (-2, 1) and (-5, -3)  (0, 0) and (3, 4)

7 S LOPE GRAPHICALLY  Count out the rise, then count out the run and divide.

8 S LOPE GRAPHICALLY

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10 S LOPE PACKET

11 P ARALLEL L INES AND S LOPE  Lines that are parallel have the same slope.

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13 P ERPENDICULAR LINES AND SLOPE  Perpendicular lines have a negative reciprocal slope.

14 P ARALLEL VS P ERPENDICULAR

15 D ETERMINING WHETHER LINES ARE PARALLEL, PERPENDICULAR, OR NEITHER FROM SLOPE  Is the line AB that passes through the points A(1, 0) and B(5, 3) parallel, perpendicular, or neither to the line CD that passes through C(6, -1) and D(0, 2)

16 D ETERMINING WHETHER LINES ARE PARALLEL, PERPENDICULAR, OR NEITHER FROM SLOPE  Is the line HI that passes through the points H(5, 1) and I(-1, -1) parallel, perpendicular, or neither to the line JK that passes through J(2, 1) and K(3, -2)

17 P AGE 175  #7 – 9, 13 – 15, 19 - 21

18 G RAPHING LINES THAT ARE PARALLEL

19 G RAPH A LINE PARALLEL TO LINE AB

20 G RAPH A LINE PERPENDICULAR TO THE LINE AND THAT PASSES THROUGH POINT P

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