1. Graphing Lines Day 0ne. Cover the concepts: Relation Function
Domain and range
4 ways to represent a relation/function
Graphical
Symbolic
Numeric
Verbal
Graphing Lines

2. How To Find THE SLOPE of a Line Given Two Points

3. Slope of a Line x y y2 x2 y1 x1

4. Slope of a Line
Notice that this is the rate of change of y with respect to x.
The units of the range variable go in the numerator and the units of the domain go in the denominator
Now, how would this look in function notation?

5. Definition of Slope
The slope of the line is it’s measure of steepness. It measures the rate of change of the line. In all lines the slope is constant, it doesn’t change no matter where you are at on the line.

6. Find the Slope of the line containing the points

7. Bicycles
In groups, generate the line that relates the number of wheels to the number of bicycles. Represent it Graphically.
What does the slope of this line represent?
Is this a discrete or continuous function?

8. Graph of a Line x y -1 -5 -3 1 2 3 What do the red points represent?-3 1 2 3
What do the red points represent?
What does the line represent?

9. Intercepts
Where the graph crosses the x-axis is the x-intercept. It has coordinates (a,0).
Where the graph crosses the y-axis is the y-intercept. It has coordinates (0,b).

10. The x and y intercepts of a line
(0,b)
x-intercept x
(a,0)

11. Example
Find the x and y intercepts of the line given by:

12. Slope Intercept Form
Any stinking point on the line y
y-intercept x

13. Determine the slope and y-intercept of the following

14. Point Slope Form Any stinking point on the line y
Any stinking fixed point on the line x

15. Find the Equation of the Line Through the Points

16. Line Formulas
Slope Formula
Slope Intercept Form
Point Slope Form