Chapter 7 Unit Question What are the components and applications of lines on the coordinate plane?

Slides:

Advertisements

Similar presentations

Warm Up… Solve each equation for y.

Advertisements

4.7 Graphing Lines Using Slope Intercept Form

Slope Intercept Form Y intercept The y-intercept is the point where a line crosses the y axis. At this point the value of x is 0. To find the y-intercept,

Slope Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.

AIM: Graphing Slope Intercept Form

Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.

Linear Functions.

Objective The student will be able to: 1) write equations using slope-intercept form. 2) identify slope and y-intercept from an equation. 3) write equations.

3.5 Lines in the Coordinate Plane

LT: I can graph and write equations of lines

Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?

Warm Up Find the slope of the line containing each pair of points.

Slope-Intercept and Point-Slope Forms of a Linear Equation

Bell Work Solve for “y” 1.) 3x – 2y = -8 2.) 5x – y + 12 = 3x ) 3x – 4y = -7y – 12.

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

11.6 The Slope Intercept Form

Graphing Linear Equations In Slope-Intercept Form.

Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.

Slope-Intercept and Point-Slope Forms of a Linear Equation.

Plot and label the ordered pairs in a coordinate plane. (Lesson 4.1) A(-5, 2), B(0, 5), C(-6, 0)

{ Graphing Linear Equations And Inequalities.  Create an x y chart.  Pick the x’s that you would like to use.  You must pick at least three, you may.

Slope-Intercept Form Linear Equations.

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

What is the slope of a line parallel to the line seen below? m= -1/3

Chapter 5:Write the equation of a line Given a Point and a Slope.

Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept.

Section 4.7 Slope-Intercept Form. Coordinated Plane.

Do Now 1. Solve the equation 2. Find the x-intercept and the y-intercept of the equation +4x 2 + 5x = x = x = -2 5x + (0) = 25 5x = 25 x.

Chapter 4 Jeopardy. JEOPARDY The Coordinate Plane Graph Using a Table Graph Using Intercepts SlopeSlope- Intercept Form Random

Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:

2.3 Graphing Linear Equations in Slope-Intercept Form.

X and Y Intercepts.

Warm Up 1. 4x + 2y = x + 2 = 6y Solve each equation for y. y = –2x Find the slope of the line that contains (5, 3) and (–1, 4). 4. Find the.

Plot the points on a coordinate plane: A(-4, 1) B(7, 2) C(0, -5) D(-1, -6) E(6, 0)

Drill #63 Write a direct variation equation that relates x to y. Assume that y varies directly as x. Then solve. 1. If y = 8 when x = 2, find x when y.

Chapter 5:Write the equation of a line Given Two Points.

Geometry Lesson 3 – 4 Equations of Lines Objective: Write an equation of a line given information about the graph. Solve problems by writing equations.

Do Now Write the slope-intercept equation of this line.

7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):

When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y- intercept for each equation. 1. y = 3x y = ½.

WRITING EQUATIONS IN SLOPE INTERCEPT FORM 4.2. What you need… ■In order to write an equation in slope intercept form you need to know 2 things: ■ y =

Do Now 1)Write the slope-intercept equation of this line.

Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

Objective- To graph and manipulate equations in standard form. Standard FormSlope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 - 3x 2y = - 3x + 8.

5.3 Standard Form of a Line Finding an Equation Given Two Points Write the equation of the line which contains: (-2, 3) (4, 5) Slope (m)=

Holt McDougal Algebra Slope-Intercept Form Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 Find each slope x + 2y = x.

Chapter 7 Unit Question What are the components and applications of lines on the coordinate plane?

Presentation Index Graphing Equations of Lines QUIZ: Graphing Equations of Lines.

SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is.

Chapter 7 Unit Question What are the components and applications of lines on the coordinate plane?

Introduction to Linear Functions 3.1/3.2 And Properties of Linear Function Graphs.

Standard Form Objective: To graph the equation of a line in Standard Form from give information. Warm – up: Write the following equations in Standard Form.

Graphing Points & Lines Sections covered: 1.8 The Coordinate Plane 3.6 Lines in the Coordinate Plane.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.

SLOPE 8.2.spi11 Finding the slope of a line: The slope of a hill means how steeply it goes up or down. Lines and curves also have a slope. To find slope:

Warm up 1.Find the slope of a line that passes through these points: a.B(2,5) C(3,1)b. L (4,3) M (-2, -6) 2.Write each equation in its simplest form: a.

Bellwork 1)If 2x + 5y = -20 and x = 0, what is y? 2)What is the slope of the line containing the points (2, 7) and (3, -7)? 3)Orphelia bought x apples.

Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.

Writing Linear Equations in Slope-Intercept Form

Slope-intercept form.

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

Warm-Up Find the value of x: 3x – 5 = 9 – 4x.

2.5 Writing Equations in Slope Intercept Form

Functions in the Coordinate Plane

5-3 slope-intercept form

Warm-Up #8 Solve for y: 2y – x = 4 5 – y = 6x y – 2x = 6.

Presentation transcript:

Chapter 7 Unit Question What are the components and applications of lines on the coordinate plane?

Open Learning Logs Date on Left…Section 7 – 9 on right

1)Write and name the two equation forms for lines we have discussed in this chapter. 2)What kind of lines do they leave out? 3)Why? WARM UP 7 – 9

Section 9 How do we graph lines with equations in STANDARD form ( A x + B y = C )?

Homework Clicky

Graph this… We could work the formula to put it into slope-intercept form… But there is a different way… HoffmaMagic! Find the intercepts! If a point is on the y -axis, what is the value of x ? If a point is on the x -axis, what is the value of y ? NOTE: graph counts by 2s

The Standard Form Equation: A x + B y = C Goal: Graphing Find the intercepts! x-intercept : let y = 0 and solve y-intercept : let x = 0 and solve Plot the two intercepts and connect the dots! Goal: Put into Slope-Intercept form Simply put, “Solve for y” That is, get y = something Which when you are done will be mx + b

Put in Standard Form (with INTEGER coefficients): Get the x and y on the same side of the = sign with NO fractions or decimals

Solve the following for the slope, m, and the y-intercept, b, in terms of A, B, and C. Assume B ≠ 0. (Put in Slope Intercept form of a line) Looking at what this means… Let’s see what this looks like Now plug into slope-intercept form

Construction workers in the old days got $10 for each DAY job and $15 for each NIGHT job. If a worker earns $150… Write this as an equation in standard form Let x = day jobs y = night jobs Now write in slope-intercept form Now plug into slope-intercept form With this many How many possible day jobs…night jobs?

Homework Do HoffmaSheet 7 – 9