Where do these graphs intersect

Slides:

Advertisements

Similar presentations

Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

Advertisements

Question: Find the equation of a line that is parallel to the equation: 3x + 2y = 18.

Systems of Linear Equations

Systems of Linear Equations Vocabulary. This is a System of Linear Equations.

UNIT 6.15 Special Solutions: Graphing I can identify special solutions within a system of equations graphically.

Solving System of Equations Using Graphing

6.1 – Graphing Systems of Equations

Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.

x y no x y yes.

Slide Systems of Linear Equations A system of linear equations consists two or more linear equations.

Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.

Notes Over 9.7 Using the Discriminant The discriminant is the expression under the radical: If it is Positive: Then there are Two Solutions If it is Zero:

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

3.6 Solving Absolute Value Equations and Inequalities

Linear Inequalities by Graphing

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

Solving a System of Equations in Two Variables By Graphing Chapter 8.1.

Solving Systems of Equations

Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.

4.1 Graphing Systems. Goals  SWBAT graph a system of linear equations and find the solution to the system.

2( ) 8x + 14y = 4 -12x – 14y = x = x = 4 8x + 14y = 4 8(4) + 14y = y = y = -28 ___ ___ y = -2 The solution is (4, -2)

Parallel Lines.   Two lines that have the same slope.   If you graph them they will never intersect.   We can find the equation of a line parallel.

3-1 Graphing Systems of Equations

PLOT ANY POINT Solutions To Linear Equations.

Slope Intercept form. Geometry Unit 2-3, 2-4 Equations of lines Parallel and perpendicular slopes.

Parallel and Perpendicular Lines

Solving Systems of Equations

3.3 – Solving Systems of Inequalities by Graphing

8.7Systems of Linear Equations – Part 1

Linear Systems November 28, 2016.

Warm-Up Graph Solve for y: Graph line #2.

Do Now Solve the following systems by what is stated: Substitution

6.1 Solving Systems of Linear Equations by Graphing

3-1 Graphing Systems of Equations

Solving Systems of Linear and Quadratic Equations

Solving Systems of Linear and Quadratic Equations

Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.

6-1 Solving Systems by Graphing

3.5 Write and Graph Equations of Lines

Solving Systems of Linear and Quadratic Equations

Solve Systems of Equations

Parallel and Intersecting Lines

Lesson 7.1 Solving Systems of Equations by Graphing

Graph the equation..

Systems of Equations Solving by Graphing.

Graphing Systems of Equations.

9.6 Solving Systems of Equations by Graphing

6-1 Solving Systems by Graphing

Solving Systems of Linear and Quadratic Equations

Bellwork 1/24 Solve #1 and then do #2 1.) x + y = 5 2.) 3x + 2y = 12

Geometry Section 3.5.

that ordered pair is the one solution.

Dear Santa Presents from YOU!

has one solution, it is the point where the lines intersect

8-6 Slope-Intercept Form

Warm-up Determine if (2, 1) is a solution to the following

Graphing Systems of Equations

Solving for x and y when you have two equations

Warm-Up 1) Sketch a graph of two lines that will never intersect.

3.5 Solving Nonlinear Systems

Graphing Systems of Equations.

Solving Special Cases.

Objectives Graph lines and write their equations in slope-intercept form. Classify lines as parallel, intersecting, or coinciding.

Linear and Nonlinear Systems of Equations

Linear and Nonlinear Systems of Equations

6-1 System of Equations (Graphing)

Intersection Method of Solution

Use Graphs of Functions

Graphing Systems of Equations.

Presentation transcript:

Where do these graphs intersect

Are These Parallel? 1. y = x + 3 y = 3x - 12 3. y – x = 1 y = -x - 1

Lets try one: Find the solution to the following system: y = -2x+4 y = x -2 m=-2 b=4 m=1 b=-2 Step 1:Graph both equations Step 2: Find Where the lines intersect? THE SOLUTION: (2,0)

You try: Where do the lines intersect? y = 2x – 1 y = –x + 5 Graph both equations Where do they intersect?

Try again: Find the solution to the system y = -2x-1 y = -2x+4 Graph both equations Where do they intersect?

Find the Solution