1. Objective The student will be able to: graph a line given any linear equation. SOL: A.6 Designed by Skip Tyler, Varina High School

2.  X-axis  X-coordinate  X-intercept  Y-axis  Y-coordinate  Y-intercept Vocabulary – get a green book and copy down the definitions from the glossary  Slope  Slope-intercept form  Ordered pair  Function  Function table  Linear equation  Linear function KEEP BOOK FOR LATER!

3. 1)using a function-table 2)using slope-intercept form 3)using x- and y-intercepts There are 3 different methods for graphing equations. The goal is to determine which method is the easiest to use for each problem!

4.  If the equation is in STANDARD FORM (Ax + By = C), graph using the intercepts.  If the equation is in SLOPE-INTERCEPT FORM (y = mx + b), graph using slope and intercept or a function-table (whichever is easier for you).  If the equation is in neither form, rewrite the equation in the form you like the best! Here’s your cheat sheet!

5. XY -20 2 04 16 28 Using a Function Table Graph: y = 2x + 4

6. Which graphing method is easiest? Using slope and y-intercept (or a function-table)! ----These notes will graph using m and b m =, b = 2 Graph

7. Start here -31 Review: Graphing with slope-intercept 1.Start by graphing the y-intercept (b = 2). 2.From the y-intercept, apply “rise over run” using your slope. rise = 1, run = -3 3.Repeat this again from your new point. 4.Draw a line through your points. 1 1

8. Which graphing method is easiest? Using x- and y-intercepts! (The equation is in standard form) Remember, plug in 0 to find the intercepts. Graph -2x + 3y = 12

9. 1.Find your x-intercept: Let y = 0 -2x + 3(0) = 12 x = -6; (-6, 0) 2.Find your y-intercept: Let x = 0 -2(0) + 3y = 12 y = 4; (0, 4) 3.Graph both points and draw a line through them. Review: Graphing with intercepts: Graph:-2x + 3y = 12

10. 1.Function-table 2.Slope and intercept 3.X- and Y-intercepts 4.Graphing calculator Which method is easiest to graph -3x + 6y = 2?

11. 1.. 2.. 3.. 4.. Which is the graph of y = x + 2?

12.  Pg. 359  # 1-6 (all)  Pg. 365  # 1-3 AND 7  Put in basket when finished  Copy down homework Get out one sheet of paper, fold and label it on the outside!

13.  Pg. 365  # 1-3 AND 7  Have a grading utensil ready

14. PEOPLE SEARCH Directions: Find a different person to answer each of the following questions. Each person should sign the question they answer. Find Someone Who Can…

15. Find the slope of a line that passes through (-7, 3) and ( 8, 5). ______________________ Find the slope of the line, y = 2/3 x + 4. _______________________ Find the slope of x = -3. _______________________ Find the slope of a line that passes through the points (-3, 1) and (2, -3). ______________________ People Search

16. Write 5x + 2y = 10 in slope-intercept form. _______________________ Find the slope of 3x+ y = 5. ________________________ Find the slope of y = 4. ________________________ Tell you if the slope of the line that passes through (-4,3) and (5,3) is positive, negative, zero or undefined. ___________________ People Search

17. Find the equation of the line that has slope of 3 and y-intercept of –4. ____________________ Find the x- and y-intercept for the line represented by 5x – 2y = 10. ____________________ Write the equation of the line that passes through (0, -3) has a slope of 2/5. ____________________ Find the equation of the line that passes through the point (1,2) and has a slope of 2. ______________________ People Search

18. Find the slope and y- intercept of the line represented by y = -x + 5. ______________________ Write the equation of the line that passes through (-6,2) and (-6, -3). ____________________ Write the equation of the line that passes through the points (-1,6) and (2,9). ___________________ Find the y-intercept of y = 3x + 4 - 2. ______________________ People Search