Find the slope between the following points. Use (y2 – y1)/(x2 – x1) Bell Ringer Find the slope between the following points. Use (y2 – y1)/(x2 – x1) 1. (2, 5) and (6, 1) 3. (4, 4) and (2, 2) 2. (9, 7) and (-3, -2) 4. (-1, -6) and (-2, -14)

Announcements *May 8 – Placement Test and Last Day to turn in work *Quiz on 8.10 next Wednesday, May 5

Homework Check

Homework Check

Homework Check

Section 8.10 Solving Systems of Equation - Graphing R drive > Key > April 27_May 1 > 4_30__8.10 Systems Graphing File > Save As > P drive > Math > April 27_May 1 >

Vocabulary Systems of Equations – A collection of two or more equations with the same set of variables

In the Past… We have found a solution to one equation: Ex) y = x + 3 Now, we will be given more than one equation, and we have to find a solution that works for BOTH equations Ex) y = 5x y = 2x + 30

How can we do this… There are multiple ways to solve a system of equations. We will be learning two of those ways, and we are going to start with GRAPHING

Let’s Review How to Graph a Line You need the slope and the y – intercept in order to graph a line: Step 1 – Plot the y – intercept Step 2 – Use the slope to plot 2 more points (Remember Rise over Run) Step 3 – Connect the points with a line

Practice Problems Graph the following equations: Y = 3X + 2

Example 1 Solve by Graphing Solve the system of equations by graphing. Y = X Y = -3X + 4

Example 2 Solve by Graphing Solve the system of equations by graphing. Y = X + 2 Y = -2X - 4

Example 3 Solve by Graphing Solve the system of equations by graphing. Y = -X + 5 Y = 2X + 2

Example 4 Solve by Graphing Solve the system of equations by graphing. Y = X + 1 X + Y = 7

Homework Section 8.10 # 1, 8 – 10, 13 Solve each system of equations by graphing. 1. Y = -x 8. Y = 2X 9. Y = X 10. Y = -X + 1 Y = X – 4 Y = X + 1 Y = -X + 4 Y = X – 5 13. X + Y = -3 X – Y = -3