Lesson #17- Slope of a Line. Consider the roofs of 3 houses Steep SteeperSteepest = 2 rise run 1 1 3 3 rise run = 2 2 3 3 rise run = 4 2 4 = 2 1.

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Presentation transcript:

Lesson #17- Slope of a Line

Consider the roofs of 3 houses Steep SteeperSteepest = 2 rise run rise run = rise run = = 2 1

We call the steepness of the line itsSLOPE The steeper the line the the slope. LARGER Positive Slope Negative Slope Up to the Right Down to the Right

eg. 1 Jacky’s Ride. Determine the slope. S(-2,6) F(2,0) rise run -6 4 = = -3 2 = - 3 2

eg. 2 Balloon Rescue. Determine the slope. H(-3,-2) J(1,3) rise run = 3 6 = 1 2

It does not always make sense to draw a graph. In these cases you can use a _______ formula. shortcut rise run = y 2 -y 1 x 2 -x 1 A(-4,3) F(4,5) 2 8 (x 1,y 1 ) (x 2,y 2 ) = (5)-(3) (4)-(-4) 2 8 = 1 4 =

Find the slope of the following: rise run = y 2 -y 1 x 2 -x 1 = (5)-(3) (2)-(3) 2 = 2 1 = - 1) A(3,3) B(2,5) 2) C(-1,5) D(4,8) rise run = y 2 -y 1 x 2 -x 1 = (8)-(5) (4)-(-1) 3 5 =

Homework All problems on Slope of a Line Handout