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 transcript:

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 ?

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.

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

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)

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

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

S LOPE GRAPHICALLY

S LOPE PACKET

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

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

P ARALLEL VS P ERPENDICULAR

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)

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)

P AGE 175  #7 – 9, 13 – 15,

G RAPHING LINES THAT ARE PARALLEL

G RAPH A LINE PARALLEL TO LINE AB

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