Download presentation

Presentation is loading. Please wait.

Published byCora McCoy Modified over 7 years ago

1
Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at one point. 3) On the coordinate plane, graph two lines that intersect at every point (an infinite number of points).

2
Solving Systems of Equations by Graphing Objectives: To find the solution of a system of equations by graphing

3
Activity With your partner: Partner 1 - graph the equation 2x + 3y = 12 Partner 2 - assist partner 1 Partner 2 - graph the equation x – 4y = -5 Partner 1 - assist partner 2 How many points of intersection are there?1

4
Activity With your partner: Partner 1 - graph the equation x = 2y + 1 Partner 2 - assist partner 1 Partner 2 - graph the equation 3x – 6y = 9 Partner 1 - assist partner 2 How many points of intersection are there?0

5
Activity With your partner: Partner 1 - graph the equation 2x = 4 - y Partner 2 - assist partner 1 Partner 2 - graph the equation 6x + 3y = 12 Partner 1 - assist partner 2 How many points of intersection are there? an infinite number

6
Example 1 Solve the following system by graphing. x + y = 2 x = y x + y = 2 xy 2 1 -3 0 1 5 -8-6-4 -2 2 42 68 4 6 -4 -6 -8 -2 8 x = y xy 0 1 5 0 1 5 (1,1)

7
Practice Solve by graphing. 1)x + 4y = -6 2x – 3y = -1 2)y + 2x = 5 2y – 5x = 10

8
Warm-Up 4 minutes 1) y – 2x = 7 y = 2x + 8 2) 3y – 2x = 6 4x – 6y = -12 Solve by graphing.

9
Solving Systems of Equations by Graphing pt. 2 Check a Solution: Objectives: To determine whether an ordered pair is a solution of a system of equations

10
Example 1 Determine whether (3,5) is a solution of the system. y = 4x - 7x + y = 8 5 =4( ) 3 - 7 5 = 12 - 7 5 = 5 3+ 5= 8 8 = 8 (3,5) is a solution of the system

11
Example 2 Determine whether (-2,1) is a solution of the system. 2x – y = -53x + 2y = 3 2( )-2 - 1 = -5 -4 – 1 = -5 -5 = -5 3( ) -2 + 2( ) -6 + 2 = 3 1= 3 (-2,1) is not a solution of the system

12
Practice 1)(2,-3); x = 2y + 8 2x + y = 1 Determine whether the given ordered pair is a solution of the system. 2)(-3,4);2x = -y – 2 y = -4

13
Practice Solve these systems by graphing. 1)x + 4y = -6 2x – 3y = -1 2)y + 2x = 5 2y – 5x = 10

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google