Download presentation

Presentation is loading. Please wait.

1
Warm ups What is the slope and y intercept?

2
**8.1 Graphing Systems of Equations**

Objective: To solve systems of equations by graphing.

3
**System of Linear Equations:**

System of Linear Equations: Two or more linear equations. A solution to the system of linear equations is any ordered pair that makes BOTH equations true.

4
**Three Types of Solutions:**

Intersection is Solution One Solution Infinite Solutions No Solution Different slope Different y-intercept “Intersect at one point” Same slope Different y-intercept “Run parallel Never intersect” Same slope Same y-intercept “Same line Intersect infinitely”

5
**Examples: Solve each system by graphing.**

1) y = –x y = 2x + 4 y = –x + 1 Slope: -1 Y-int: (0, 1) y = 2x + 4 Slope: 2 Y-int: (0, 4) Different slope Different y-intercept “Intersect at one point” The solution of the system is: (-1, 2) x = –1, y = 2

6
**2) x + y = 1 y = –x + 3 x + y = 1 y = –x + 3 –x –x y = - x + 1**

Slope: -1 Y-int: (0, 1) y = –x + 3 Slope: –1 Y-int: (0, 3) Same slope Different y-intercept “Run parallel Never intersect” The solution of the system is: no solution

7
**“Same line Intersect infinitely”**

3) x – 2y = x – 4y = 8 x – 2y = 4 –x –x –2y = –x + 4 – –2 –2 y = ½ x – 2 Slope: ½ Y-int: (0, –2) 2x – 4y = 8 –2x –2x –4y = –2x + 8 – –4 –4 Y = ½ x – 2 Slope: ½ Y-int: (0, –2) The solution of the system is: infinite solutions Same slope Same y-intercept “Same line Intersect infinitely”

8
**Try with a Partner: 4) y = 3x – 3 x + y = 1 y = 3x – 3 x + y = 1 –x –x**

Slope: 3 Y-int: (0, –3 ) x + y = 1 –x –x y = –x + 1 Slope: –1 Y-int: (0, 1) Different slope Different y-intercept “Intersect at one point” The solution of the system is: (1, 0) x = 1, y = 0

9
**Summarize: HOW MANY ANSWERS?**

Number of Solutions Slope Y-Intercept 1 (Ordered Pair) Different Same (No Solution) ∞ (Infinitely Many)

10
TRY ON OWN Answer the four multiple choice questions on the elmo.

11
**Speaker and Scribe Review**

12
Review

13
Review

14
Write in STANDARD

15
Determine Value of r.

16
Homework 8.1 Graphing Systems of Linear Equations (2 sides)

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