SLOPE!!! How did we define slope yesterday? When looking at a graph to determine if the slope is positive, negative, zero, or undefined what direction should we look? I want to find the “rise over run” of a line what should I find first on the line? Explain what we mean by “rise” and “run”. How might we encounter slope in the real world?

What is Slope? Slope is the rate of change of a line (change in y) (change in x)

Slope Line Review If a line rises from left to right, its slope is _______. If a line falls from left to right, its slope is _______. A horizontal line has a _____ slope. A vertical line has a _______ slope.

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

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

What Type of Slope is Shown? Positive Slope Negative Slope Zero Slope No Slope/Undefined

Review Slope of a Graph Identify 2 points on a line. Find the rise and run. Determine if the slope is positive or negative. How far up or down it changes How far left or right it changes

Slope

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

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

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) -3 5 18 2 X1 y1 X2 y2

Given two points on a line, find the slope: 1. (9, 2), (8, -7) X1 y1 X2 y2 2. (-4, 4), (-7, 2) y1 X2 X1 y2 3. (5, -1), (9, -4) X1 y1 y2 X2

Given two points on a line, find the slope: 4. (5, 2), (1, 0) X1 y1 X2 y2 5. (3, -3), (3, -1) y1 X2 X1 y2 Undefined, NO slope 6. (-4, -2), (4, -2) X1 y1 y2 X2

If it is linear it will be the same no matter which two rows you pick Slope of a Table In a table we can use the same formula. Pick any two pairs in the table for coordinates Pick any two rows. If it is linear it will be the same no matter which two rows you pick x y -4 -17 1 -2 3 4 8 19 10 25 x1 y1 x2 y2

Slope of a Table Find the slope for each table below x y -3 4.25 -1 2.75 2 1 1.25 5 -1.75 x y -8 2 -6 3 -3 4.5 -1 5.5 6

Slope of a Table Find the slope for each table below x y -10 17 -5 10 4.4 5 -4 -11 x y -3 -8 -1 1 4

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