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

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Presentation transcript:

M. Pickens 2006 Slope

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

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 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