Slope Lesson Three Slope from Tables M Pickens

Slope Lesson Three Slope from Tables M. Pickens 2006

RECAP 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

Positive slope, + work Negative slope, - work Zero slope is zero fun! NO slope. Oh No!!!! Slope Mountain Ski Resort https: //www. youtube. com/watch? v=av. S 6 C 6_kv. XM 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 from a Table You can find the slope of a line if the points from the line are put into a table. We use a special formula. 8 Graph Table y 6 2 units 4 2 3 units x 0 2 4 6 8 3 3 3 x y 0 3 6 9 1 3 5 7 3 units 2 2 units M. Pickens 2006

Slope Formula We can use the slope formula to find the slope from a table. Here it is. Copy it into your notes. You will need to learn this formula as you will be using it often. y 2 – y 1 slope = x 2 – x 1 M. Pickens 2006

Slope from a Table • In a table we can find the rate of change by finding the change in y and the change in x. • We can use any two points from the table that show some form of pattern. x 1 x 2 x -4 1 3 8 10 y -17 -2 4 19 25 Pick any two rows. If it is linear it will be the same no matter which two rows you pick y 1 y 2 M. Pickens 2006

Examples • Find the slope for each table below x -3 -1 0 1 5 y 4. 25 2. 75 2 1. 25 -1. 75 x -8 -6 -3 -1 0 y 2 3 4. 5 5. 5 6 M. Pickens 2006

• Find the slope for each table below x -10 -5 -1 5 10 y 17 10 4. 4 -4 -11 x -3 -1 0 1 4 y -8 -8 -8 M. Pickens 2006

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