2.4 Writing Equations of Lines

Slides:

Advertisements

Similar presentations

Parallel & Perpendicular Slopes II

Advertisements

Writing an Equation of a Line

Writing Equations of a Line

2.2 Linear Equations.

2.4 Write Equations of Lines

Write an equation given the slope and a point

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

Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?

Bellwork Partner Activity for graphing.

y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

Writing Linear Equations Group Competition. State the Slope and Y-Intercept #1.

Equations of Lines; Building Linear Functions January 22, 2007.

Writing Linear Equation using slope-intercept form.

 Graph the following two lines:  1.  2.  Write an equation of the line that passes through (-3,3) and is parallel to the line y=-2x+1.

Warm-Up Exercises In a computer generated image, a line is represented by the equation – 15. = 5y5y2x2x 1. Solve the equation for y and identify the slope.

Goal: Write a linear equation..  1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line.  2. What.

Jeopardy Simply Solutions Exponentially Radical Getting Graphic Totally Linear Data Dig $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.

Writing Equations of a Line. Various Forms of an Equation of a Line. Slope-Intercept Form.

2.4 Essential Questions What is the point-slope form?

Lesson 2.7 AIM: How to find the slope and equation of a line using two points.

Answers. Write the Formulas Slope Formula y₂-y₁ x₂-x₁ Point Slope Form y-y₁=m(x-x₁) Slope-intercept Form y=mx+b.

Notes Over 5.2 Write an equation of the line that passes through the point and has the given slope. Write the equation in slope-intercept form.

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = = Simplify. Substitute.

. 5.1 write linear equation in slope intercept form..5.2 use linear equations in slope –intercept form..5.3 write linear equation in point slope form..5.4.

Distance, Slope, & Linear Equations. Distance Formula.

2.3 Equations of Lines Going the other direction – from a picture to the equation.

+ 2.5 Writing equations of lines Objective: Write linear equations.

2.4 More About Linear Equations p Ex 1) Write a point-slope form equation for the line through (-5,2) with slope 3/5.

DIFFERENT FORMS. Standard Form: ax + by = c Where a is Positive Not a fraction.

Chapter 2 – Linear Equations and Functions 2.5 – Writing Equations of Lines.

SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?

Use Linear Equations in Slope- Intercept Form Lesson 5.2 OBJ: to write an equation of a line using points on the line.

LINEAR EQUATIONS YEA!. WHAT IS A LINEAR EQUATION? A straight line Have simple variable equations No exponents Only have x and y 3 different equations.

Bingo Answers Fill in all 25 spaces on your Bingo card, using any of the given answer choices. Do NOT Repeat any choices. y = 2x + 4 y = -1/3 x + 6 y.

1. Write the equation in standard form.

Lesson 5.6 Point-Slope Form of the Equation of a Line

Writing Equations of a Line

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

Warmup 1. Find the equation of a circle with center (-4,1) and radius 3 2. Find an equation of a circle with center at the origin passing through P(4,

Writing Equations of Lines

Point-Slope Form and Writing Linear Equations

Lesson 3-6 Part 2 Point-Slope Equation.

Point-Slope Form of a Linear Equation

Writing Equations of a Line

Precalculus Section 1.2 Find and apply the slope of a line

#2 Review of Writing Linear Equation

Linear Equations Objectives: Find slope of a line

Parallel and Perpendicular Lines

Chapter 1: Lesson 1.3 Slope-Intercept Form of a Line

Linear Models and Rates of Change

Writing Equations of Lines

Writing Linear Equations Given Two Points

Section 5 – Writing Equations of Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

1.3 Finding Equations of Lines

Point-Slope Form and Writing Linear Equations

The Point-Slope Form of the Equation of a Line

Write the equation of the line.

Parallel and Perpendicular

2.4 Writing Equations of Lines

Writing Equations of a Line

Equations of Lines.

ALGEBRA I - REVIEW FOR TEST 2-1

Chapter 4 Review.

Check even answersp.23: / /3 28. none

Chapter 4-7 Parallel Lines

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.

Open ended Question Review…

Presentation transcript:

2.4 Writing Equations of Lines

In this lesson you will: Write linear equations.

Writing an Equation of a Line You can write the equation of a line using one of the following handy-dandy formulas: Slope-Intercept form: (Given the slope m and the y-intercept b) use this equation): Point-Slope Form: (Given the slope m and a point (x1,y1), use this equation): In calculus we consider this formula to be one of our “best friends.” Two Points: (Given two points (x1,y1) and (x2,y2), use the equation) Use this formula to find the slope m, then use the point-slope form with this slope and either of the given points to write an equation of the line.

Write the equation of the line shown: The y – intercept is -2 The slope is 3/2 y = (3/2)x-2

And finally simplify to y = (-1/2)x+4 Write the equation of the line that passes through (2,3) and has slope -1/2. Use the point-slope formula: y-3=(-1/2)(x-2) And finally simplify to y = (-1/2)x+4

Write the equation of the line that passes through (3,2) and is a) perpendicular and b) parallel to y = -3x + 2. The parallel line will have slope -3 and the perpendicular line will have slope 1/3. Perpendicular Parallel y=(1/3)x+1 y-2=-3(x-3) y = -3x+11 y-2=(1/3)(x-3)

Write the equation of the line that passes through (-2,-1) and (3,4) First determine the slope: You now know the slope and can use either of the given points in the point-slope formula. Would you get the same answer if you used either given point? y = x + 3