WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2)

Slides:

Advertisements

Similar presentations

1. (1, 4), (6, –1) ANSWER Y = -x (-1, -2), (2, 7) ANSWER

Advertisements

SOLUTION EXAMPLE 3 Determine whether lines are perpendicular Line a: 12y = –7x + 42 Line b: 11y = 16x – 52 Find the slopes of the lines. Write the equations.

4.7 Graphing Lines Using Slope Intercept Form

Solving Special Systems

EXAMPLE 1 Write an equation of a line from a graph

Write an equation given two points

7 = 7 SOLUTION EXAMPLE 1 Check the intersection point Use the graph to solve the system. Then check your solution algebraically. x + 2y = 7 Equation 1.

Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Graphing.

Solving Systems by Graphing

Chapter 7.1 Notes: Solve Linear Systems by Graphing Goal: You will solve a system of linear equations graphically.

3.1 Solve Linear Systems by Graphing. Vocabulary System of two linear equations: consists of two equations that can be written in standard or slope intercept.

WARM UP LINEAR EQUATIONS Solve the equation (Lesson 3.1, 3.4) 1.5(2x + 4) = 2(10 + 5x) 2.2x + 6(x + 1) = -2 3.

Determine whether (2, 4) is a solution for y= 5x-6.

WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages

WARM UP RATIOS Convert the units. (Lesson 3.8) 1.5 days to hours 2.36 inches to feet 3.12 years to months 3.

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

Warm Up Evaluate each expression for x = 1 and y =–3. 1. x – 4y 2. –2x + y Write each expression in slope-intercept form, then then graph. 3. y – x = 1.

Free Powerpoint Templates Page 1 Free Powerpoint Templates 3.1 Solving Linear Systems by Graphing.

Section 7.1 Solving Linear Systems by Graphing. A System is two linear equations: Ax + By = C Dx + Ey = F A Solution of a system of linear equations in.

Graphing Linear Systems Math Tech II Everette Keller.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Monday, March 23 Solve system of linear equations by graphing. Check consistency and dependency of system of equations by graphing.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.

Lines in the Coordinate Plane

Holt Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Lines in the Coordinate Plane

WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.

Warm Up Tell whether the system has one solution, no solution, or infinitely many solutions.

SOLUTION EXAMPLE 3 Determine whether lines are perpendicular Line a: 12y = – 7x + 42 Line b: 11y = 16x – 52 Find the slopes of the lines. Write the equations.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Warm Up 116 Solve. 6n + 4 = n – 11 Determine whether each linear relationship is proportional. If so, state the constant of proportionality. Write an equation.

5.1 Solving Systems of Linear Equations by Graphing

Lesson 4-1 Solving linear system of equations by graphing

1. The square root of 9 is 3 True

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

5-1 Graphing Systems of Equations

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

Solving System of Linear Equations

6.1 Solving Systems of Linear Equations by Graphing

3-1 Graphing Systems of Equations

Chapter 4: Graphing Linear Equations

Warm Up Evaluate each expression for x = 1 and y =–3.

Solve a system of linear equation in two variables

Warm - Up Graph: 4x – 3y = 9.

Model Direct Variation

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

Model Direct Variation

Lines in the Coordinate Plane

Warm Up Evaluate each expression for x = 1 and y =–3.

3.1 Notes: Solving Systems of Equations

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

3.5 Solving Nonlinear Systems

Systems of Equations Solving by Graphing.

Warm-Up Solve the system by graphing..

6-1 Solving Systems by Graphing

Objectives Identify solutions of linear equations in two variables.

Lines in the Coordinate Plane

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

Systems of Equations Solve by Graphing.

Warm Up Check to see if the point is a solution for the

4 minutes Warm-Up Solve and graph. 1) 2).

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

5.4 Finding Linear Equations

Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing

Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing

WARM UP 3 WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson.

Graphing Systems of Equations.

Solving Linear Systems by Graphing

Presentation transcript:

WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 3

WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 2

WARM UP WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 1

WRITING EQUATIONS Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. (Lesson 5.2) 1.(2, 3), m = -2 2.(3, 0), m = -4 WARM UP 0

7.1 Graphing Linear Systems SOLVING A LINEAR SYSTEM USING GRAPH-AND-CHECK ①WRITE each equation in slope-intercept form. ②GRAPH both equations in the same coordinate plane. ③ESTIMATE the coordinates of the point of intersection. ④CHECK whether the coordinates give a solution by substituting them into each equation of the original linear system.

7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ①WRITE each equation in slope-intercept form.

7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ②GRAPH both Equations. 2x – 3y = -9 x + y = -2

7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ③ESTIMATE the coordinates of the point of intersection. 2x – 3y = -9 x + y = -2 (-3, 1)

7.1 Graphing Linear Systems EXAMPLE 2 EXAMPLE 2 GRAPH AND CHECK A LINEAR SYSTEM Use the graph to solve the solution of the linear system. x + y = -2 2x – 3y = -9 ④CHECK whether (-3, 1) is a solution by substituting -3 for x and 1 for y in each of the original equations. 2x – 3y = -9 x + y = -2 (-3, 1)

7.1 Graphing Linear Systems GRAPH-AND-CHECK to solve the linear system. 1.x - y = 5 2x + 3y = 0 CHECK POINT CERTIFIED

7.1 Graphing Linear Systems Page # Graph CLASSWORK