2. 7-1 Slope Objectives: Find the slope of a line given the coordinates of two points on the line

3. Guided questions What is slope? How is slope determined? How can slope be measured given a graph? How can slope be measured given only 2 points? What are the characteristics of an undefined slope? What are the characteristics of a line with 0 slope?

4. What is Slope? - SLOPE - +SLOPE + +SLOPE + Steepness Amount of Slant

5. Determining Slope Slope= 1212 Slope=3

6. Determining Slope Slope= 0 Rise= 0 Run = n

7. Determining Slope The Slope is UNDEFINED Rise= n Run = 0

8. Determining Slope (-4, -6) (2, 5) Pick 2 points on the line Find the change in the Y- coordinates by subtracting(rise) Find the change in the X- coordinates by subtracting(run) Write as a ratio ( rise / run )

9. Determining Slope (x 2, y 2 ) (x 1, y 1 ) In general, to find the slope given two points on a line: Subtract the Y-coordinates (rise) Subtract the X-coordinates (run) Write as a ratio ( rise / run ) Y 2 -Y 1 X 2 -X 1 m = Y 1 -Y 2 X 1 -X 2 =

10. Slope Summary Slope = 0 Positive Slope Negative Slope Negative slope is a downer Undefined Slope