The document discusses key concepts for graphing linear equations including slope, slope-intercept form, and steps for graphing equations. It defines slope as the ratio of rise over run, or the vertical change over the horizontal change along a line. Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y-intercept. Examples are given for finding the slope and y-intercept and writing equations in slope-intercept form.

1. Today’s Objective To be able graph equations.

2. Linear Graphs: An equation whose graph is a straight line. “ Relationship is linear”

3. Nonlinear Graph: An equation whose graph is NOT a straight line.

4. Steps to Graph: Make Table Plug in X to find Y Draw Coordinate Plane

5. Today’s Objective: SWBAT find the slope of a line.

6. SLOPE Measures a line’s steepness.

7. Where do we see slope? Staircase/Escalators Wheelchair Ramps Ski/Snow/Skateboard Parks Jumps Architects, Builders, Contractors, Inspectors

8. SLOPE The ratio of the vertical change to the horizontal change along a line.

9. SLOPE = RISE (Vertical Change) RUN (Horizontal Change)

10. Rise- Vertical (7-5 = 2) Run- Horizontal (3-2 = 1) Slope = Rise / Run = 2/1=2 (2,5) (3,7) Rise = 2 Run = 1

11. Today’s Objective: SWBAT write an equation in slope intercept form.

12. SLOPE-INTERCEPT FORM y=mx+b SLOPE Y-Intercept

13. What is the Y-INTERCEPT? y=mx+b “ b ” is the variable that represents the y-intercept . The y-intercept is found by looking at the graph to find where it crosses the y-axis .

14. What is the y-intercept?

15. The y-intecept is? b=2

16. Write an Equation: m = -3 b = 5

17. Equation: y=mx+b y= -3 x+ 5

18. What’s the Equation? Find the slope and then find the y-intercept

19. The equation is… y= -½ x+ 2 m(slope)= -½ b(y-intercept)= 2