4-2 Writing Linear Equations Given the Slope and a Point

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

2.4 Writing the Equation of a Line

Linear Equations Review. Find the slope and y intercept: y + x = -1.

Slope Intercept Form.

11.6 The Slope Intercept Form

Linear Representation and Equations of Lines

4-2 Writing Linear Equations Given Two Points

X and Y Intercepts.

Analyzing Data using Line Graphs Slope & Equation of a Line.

Objective : Solving systems of linear equations by graphing System of linear equation two or more linear equations How do I solve linear systems of equations?

Geometry Bellwork 9/30/ – Write and Graph Equations of Lines Linear equations may be written in different forms. The general form of a linear equation.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

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 =

Slope-Intercept Form of a Linear Equation. Is this a linear equation? 3x + 2y = 6.

Algebra 5.1 Writing Linear Equations in Slope Intercept Form.

5.1 – Writing Linear Equations in Slope- Intercept Form.

Goal: Use a linear equation to model a real-life problem. Eligible Content: A / A / A / A / A / A

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.

1. Write the equation in standard form.

4-2 Writing Equations given Word Problems

Final Exam Review Chapters 3 & 4.

Graphing Lines Using Slope-Intercept Form

Review of Slope Intercept Form

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

Slope Intercept Form Algebra

5-4 Writing Equations in Slope-Intercept Form

Writing Linear Equations in Slope-Intercept Form

4-3 Point-Slope Form Goal:

Point Slope Form Chapter 5 Section 5.

3-1 Finding Intercepts Goal:

STANDARD FORM OF A LINEAR EQUATION

6.7 Writing Linear Functions

Do Now Rewrite the equation 6x - 2y = 8 in slope intercept form. (y = mx + b) What is the equation in slope intercept form? What number represents the.

2.4 Writing the Equation of a Line

Writing Linear Equations When Given a Point and the Slope

Objective The student will be able to:

Writing Linear Equations From Key Information

Writing Equations in Slope-Intercept Form

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Writing Linear Equations When Given a Point and the Slope Day 2

-3 -3x -3x Objective- To identify the slope and y-intercept

Quick Graphs of Linear Equations

Determining an Equation of a Line

Writing Equations in Slope-Intercept Form

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

Any linear equation which is solved for y is in

2.5 Writing Equations in Slope Intercept Form

Writing Linear Equations Given Two Points

Lesson 5.1 – 5.2 Write Linear Equations in Slope-Intercept Form

Algebra 1 Section 6.3.

4-2 Word Problems again!!! Goal:

Write and graph lines in point-slope form and standard form

Objective: To graph lines given their equations.

Slope-intercept Form of Equations of Straight Lines

Function & Vertical Line Test

2.2: Graphing a linear equation

Writing Linear Equations in Slope-Intercept Form

4-1 Slope Intercept Form Goal:

Write Linear Equations in Point-Slope Form

5-3 slope-intercept form

5.1 -Systems of Linear Equations

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

5-4 point-slope form.

Objectives: To graph lines using the slope-intercept equation

2.4 Writing the Equation of a Line

4-1 Writing Linear Equations in Slope-Intercept Form

Warm up 21 1.) Determine the slope and y intercept of the line y=7x ) Determine the slope and the yintercept of the line 7x- 4y=3 3.) Graph y=1/2.

Point-Slope Form y – y1 = m(x – x1)

Presentation transcript:

4-2 Writing Linear Equations Given the Slope and a Point Goals: Use slope and any point on a line to write an equation of the line. Write an equation that models a real-life situation. Eligible Content: A1.1.2.1.1 / A1.1.2.1.3 / A1.2.1.1.1 / A1.2.1.2.1 / A1.2.1.2.2 / A1.2.2.1.3 / A1.2.2.1.4

Steps: Plug what you are given into y = mx + b Solve for b. Write the equation by plugging in m and b.

Write an equation of the line that passes through (6, -3) and has a slope of -2. y = mx + b = ‧ + b -3 = + b +12 +12 9 = b y = x + x y m -3 -2 6 -12 -2 9

Examples Write an equation in slope-intercept form. (-3,0), m = y = x + 1 y = -2x +14 y = 6x + 10

Write an equation of a line that passes through (1, 4) and has a slope of –3. A. y = –3x + 4 B. y = –3x + 1 C. y = –3x + 13 D. y = –3x + 7

Practice Page 229 #1-4

Word Problems Slope (m) still means rate of change (y per x) y-intercept (b) still means beginning amount Any other numbers will be paired up as an ordered pair (x, y).

Word Problems y per x – the term used to figure out which value is x and which value is y when looking at the slope in a word problem. To determine which # is x and which # is y, look at the slope! If slope says balloons per week: y=balloons, x = weeks If slope says $ per hour: y is $, x = hours

Word Problem #1 Betty withdraws $8.25 per week from her bank account. After 10 weeks, her balance is $534. Write an equation in slope-intercept form that models this situation. y = -8.25x + 616.5 What will her balance be after 20 weeks? $451.50

Word Problem #2 Employees at a store are given a $.40 raise each year. Jamie makes $7.15 after 3 years. Write an equation in slope-intercept form that models this situation. y = .40x + 5.95 How much will she make after 5 years? $7.95

Word Problem #3 Between 1985-1995, vacations increased by 26 million per year. In 1993, 740 million vacations were taken. Let x=0 correspond to 1985. Write an equation in slope-intercept form that models this situation. y = 26x + 532 How many vacations were taken in 2000? 922 million vacations

Homework Page 229 #10-15 #9, 22, 45 do not graph