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Bell Work 1/28/15

Bell Work 1/28/15. Graph the equation. Yesterday’s Homework. Any questions? Please pass your homework to the front. Make sure the correct heading is on your paper. Is your NAME on your paper? Make sure the homework is 100% complete. Incomplete work will NOT be accepted.

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Bell Work 1/28/15

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  1. Bell Work 1/28/15 Graph the equation.

  2. Yesterday’s Homework • Any questions? • Please pass your homework to the front. • Make sure the correct heading is on your paper. • Is your NAME on your paper? • Make sure the homework is 100% complete. • Incomplete work will NOT be accepted.

  3. Next Chapter • Chapter 6 • Systems of Equations and Inequalities

  4. Heading 1/5/2020 Solving Systems by Graphing (y = mx+b) TSWBAT: solve a linear system by graphing when in slope-intercept form. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

  5. Notes • Definitions • Linear System (or System of Equations) = Two or more equations with the same variables • Solution of a Linear System = The point where the two lines cross/intersect. -Must make BOTH equations TRUE! • Point of Intersection = The solution of the linear system.

  6. Notes • Solving a System of Equations by Graphing 1. Write each equation into slope-intercept form. What is m and b? m = move b = beginning 2. Graph both equations in the same coordinate plane. 3. Find the point of intersection. 4. Check your answer. - Plug that point into both equations and make sure that it is true for both.

  7. Notes Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

  8. Notes Step 5- Check your answer. x y

  9. Notes Now you try. Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

  10. Notes Step 5- Check your answer. x y

  11. Notes Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

  12. Notes Step 5- Check your answer. x y

  13. Notes Now you try. Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

  14. Notes Step 5- Check your answer. x y

  15. Notes • Number of Solutions for a Linear System C A B No solution One solution Infinite solutions (Same Lines) (Parallel Lines)

  16. Notes Solve the system by graphing. Ex. 1) Put in slope- intercept form. 2) Graph the equations. - Find m and b first. 3) Point of intersection? 4) Check answer!

  17. Summary • To solve a linear system by ________ first graph each equation separately. Next identify the __________ of both lines and circle it. That ordered pair is the _______ to the system. Check your answer by plugging it back into the ______ of equations. • graphing • intersection • solution • system

  18. Today’s Homework • Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.

  19. Homework 6.1A Solve the system by graphing.

  20. Ticket Out the Door • Complete the Ticket Out the Door without talking!!!!! • Talking = time after the bell! • Put your NAME on the paper. • When finished, turn your paper face DOWN. • Solve the system by graphing.

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