King/Halling Algebra 2011-2012 Slope Between 2 Points King/Halling Algebra 2011-2012.

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Presentation transcript:

King/Halling Algebra 2011-2012 Slope Between 2 Points King/Halling Algebra 2011-2012

TOPIC: Slope Between 2 Points AIM How do we calculate the slope of a line when given two points that it passes through? TOPIC: Slope Between 2 Points

DO NOW Plot the following points and determine the rate of change from either the graph or the table. X Y -4 6 -1 4 2 5

Slope and Rate of Change Brainstorm formulas you already know for slope: The algebraic formula for slope is: SLOPE = y2 – y1_ x2 – x1

How to use this given two points… Write the formula for slope: Calculate the slope of the line passing through the points (1,4) and (3,7)

You try these. Find the slope using the formula: m = y2-y1 x2-x1 (5, 6) and (8, 4) (9, -2) and (5, -7)

Activity - Graph the Lines: example: y = 4x + 2 hit y = graph Plug the following linear equations into your calculator and graph them separately. Sketch the picture of the graph for each on your graph paper.

Activity Summary What do you notice about all of the lines in examples 1-3? _______________________________________ What do you notice about all of the lines in examples 4-6? What do you notice about all of the lines in examples 7-9? __________________________________________

Exit Ticket -4 Pts Calculate the slope of the line passing through the points (0,-3) and (4, 9) -2 Is the slope of this line positive or negative? -1 What does this mean about the graph of this line? (How would it look?) -1

Homework Homework #13: Pg.313 #10-15, 22-23