M. Pickens 2006 Slope. M. Pickens 2006 Objectives To learn what slope is To learn what a line looks like when it has positive, negative, zero or undefined.

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Presentation transcript:

M. Pickens 2006 Slope

M. Pickens 2006 Objectives To learn what slope is To learn what a line looks like when it has positive, negative, zero or undefined slope To learn how to find the slope of a graph To learn how to find the slope given 2 points To learn how to find the slope of a table

M. Pickens 2006 What is Slope? Slope is the rate of change of a line (change in y) (change in x)

M. Pickens 2006 What does the line look like when… You have positive slope? You have negative slope? You have zero slope? You have NO slope?

M. Pickens 2006 Slope Mountain Ski Resort Positive slope, + work Negative slope, - work Zero slope is zero fun! NO slope. Oh No!!!! T. Merrill 2005

M. Pickens 2006 Lets Cheer Positive, Negative Zero NO X-Axis Y-Axis Go, Go, Go

M. Pickens 2006 What Type of Slope is Shown? Positive Slope Negative Slope Zero Slope No Slope/Undefined

M. Pickens 2006 Slope of a Graph When slope is positive or negative we need to find the actual value of the slope or rate of change On a graph we find slope using the formula How far up or down it changes How far left or right it changes

M. Pickens 2006 Slope of a Graph 1.First pick two points on the line The points need to be where the lines cross so they are integers 2. Then find the rise and run 3. Determine if the slope of the line is positive or negative Rise = 2 Run = 3

M. Pickens 2006 Slope of a Graph 1.First pick two points on the line The points need to be where the lines cross so they are integers 2. Then find the rise and run 3. Determine if the slope of the line is positive or negative Rise = 10 Run = 2

M. Pickens 2006 Slope of a Graphed Line Find the slope of each line below x y Slopes: 4 4 Find the slope of each line below

M. Pickens 2006 Slope of line through 2 points To find the slope of a line through 2 given points we use the formula For example, Find the slope of a line that goes through (-3, 5) and (2, 18) X1X1 y1y1 X2X2 y2y

M. Pickens 2006 Given two points on a line, find the slope: 1. (9, 2), (8, -7) 2. (-4, 4), (-7, 2) 3. (5, -1), (9, -4) X1X1 y1y1 X2X2 y2y2 X1X1 y1y1 X2X2 y2y2 X1X1 y1y1 X2X2 y2y2

M. Pickens 2006 Given two points on a line, find the slope: 4. (5, 2), (1, 0) 5. (3, -3), (3, -1) 6. (-4, -2), (4, -2) Undefined, NO slope X1X1 y1y1 X2X2 y2y2 X1X1 y1y1 X2X2 y2y2 X1X1 y1y1 X2X2 y2y2

M. Pickens 2006 Slope of a Table In a table we can use the same formula. Pick any two pairs in the table for coordinates xy Pick any two rows. If it is linear it will be the same no matter which two rows you pick x1x1 x2x2 y1y1 y2y2

M. Pickens 2006 Slope of a Table Find the slope for each table below xy xy

M. Pickens 2006 Slope of a Table Find the slope for each table below xy xy

M. Pickens 2006 Conclusion Slope is: Describe the slope of each of the following the rate of change of a line Negative slope Undefined/ No slope Positive slope Zero/0 slope