Parallel and Perpendicular Lines. Warm – up!! * As you walk in, please pick up a calculator and begin working on your warm –up! 1.What is the formula.

Slides:

Advertisements

Similar presentations

Parallel & Perpendicular Slopes II

Advertisements

Warm up Tell whether the relation is a function.

2.4 Write Equations of Lines

Parallel and Perpendicular Lines

Parallel Lines Lines are parallel if they have the same slope.

Lesson 5.1 Write Equations in Slope-Intercept Form.

Questions from 1.5 HW???.

Slope Intercept Form. Slope Intercept Form of an equation gives you a quick way to graph an equation.

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

Summer Assignment Review

Chapter 8 Graphing Linear Equations. §8.1 – Linear Equations in 2 Variables What is an linear equation? What is a solution? 3x = 9 What is an linear equation.

Writing Linear Equation using slope-intercept form.

Bell Ringer Write an equation in slope – intercept form that is parallel to the line 5

Chapter 4 Basic Algebra.

Finding the Distance Between Two Points. Distance Formula Where does this formula come from and how do we use it? Consider the following example….

Warm Up Identify the slope and y-intercept 1. -3x + 5y = 9 Graph the equation x + 4y = x + 7y = 7.

Writing Equations of Lines. Do Now: Answer each of the following questions based on the graph 1.What is the slope of the line? 2.What is the y-intercept?

Lesson 3-6/3-7: More Equations of Lines (parallel and perpendicular) Objective Students will: Write equations given two points State the slope and y-intercept.

Drill #19 Determine the value of r so that a line through the points has the given slope: 1. ( 2 , r ) , ( -1 , 2 ) m = -½ Find the slope of the following.

3.6 Finding the Equation of a Line

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

 Parallel Lines = Lines in the same plane that never intersect.  Review:  Slope-Intercept form: y = mx+b.

Graphing Lines. Slope – Intercept Form Graph y = 2x + 3.

{ 2.4 Writing Equations of Lines.  Slope-Intercept Form:  Standard Form: Forms of Lines.

Graphing Test Review Algebra. Is the equation Linear? xy = 7x + 4 = y ¾ = y xy = 7x + 4 = y ¾ = y No yes yes.

Unit 3 Part 2 Writing Equations Ax + By = C (standard form) y = mx + b (slope – intercept form)

Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.

Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, even) Quiz : Wednesday, 10/9.

What is slope intercept form? What are parallel lines? What is point slope form? What is standard form? Warm up.

2.4 Lines. Slope Find the slope of the line passing through the given points.

2.4 “Writing Linear Equations” ***When writing equations of lines, substitute values for: y = mx + b Given: 1.Slope and y-intercept m = -3 b = 5 Step:

Distance, Slope, & Linear Equations. Distance Formula.

Quick Graphs Using Slope-Intercept form 4.6 Objective 1 – Graph a linear equation in slope-intercept form.

The Distance and Midpoint Formulas Unit 8. Warm – Up!! As you walk in, please pick up your calculator and begin working on your warm – up!! 1. Use the.

Warmups Write an equation in standard form: (1,2)(5,-2)

Warm up Recall the slope formula:

Warm Up a)Graph y + 3= 2(x + 1) b) What is the slope & the y-intercept?

Distance and Midpoint Intercepts Graphing Lines Graphing Circles Random.

Chapter 5 Review. Slope Slope = m = = y 2 – y 1 x 2 – x 1 Example: (4, 3) & (2, -1)

3.6 Finding the Equation of a Line

Linear Equations Chapter 5.

Warm up Tell whether the relation is a function. {(-1, 5), (-3, 2), (2, 0), (1, 2)} Evaluate: f(x) = 2x2 – 4 when x = -3 Find the slope: (5,

Parallel and Perpendicular Lines

Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12

Lesson 3-6 Part 2 Point-Slope Equation.

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Warm-up 3-7: Survey.

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

Parallel Lines: SLOPES ARE THE SAME!!

2.5 Linear Equations.

5-6 Parallel and Perpendicular Lines

Warm up Tell whether the relation is a function.

Warm up Tell whether the relation is a function.

Warm up Tell whether the relation is a function.

Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints P(5, 2) and Q(1, –4). Step 1 Graph PQ. The perpendicular.

Warm up Write an equation given the following information.

Warm up Write an equation given the following info:

Warm up Tell whether the relation is a function. {(-1, 5), (-3, 2), (2, 0), (1, 2)} Evaluate: f(x) = 2x2 – 4 when x = -3 Find the slope:

3-4 Equations of Lines Forms of Equations

Writing Equations of Lines

PERPENDICULAR LINES.

Writing Equations of Parallel and Perpendicular Lines

Warm Up x – 5 = 0 Write the Standard Form equation of

Warm up Tell whether the relation is a function.

Warm-Up 1.) Using the point slope formula find the equation of a line with slope -2 , passing through the point (1, 3) 2.) Graph the line y = 3x + 4.

WARM UP Find the equation of the line that passes through (3, 4), (6,8)? Find the slope of the line that passes through (-4,-8), (12,16)? Find the equation.

Presentation transcript:

Parallel and Perpendicular Lines

Warm – up!! * As you walk in, please pick up a calculator and begin working on your warm –up! 1.What is the formula to find the midpoint? 2.What is the formula to find distance? 3.Find the midpoint of (5, 8) and (3, 6). 4.Find the distance between (3, 4) and (7, 4).

Before We Jump In…. A Quick Review! What is the Slope Intercept form? Y = mx + b Which variable is the slope and which is the y – intercept? M = slope and b = y-intercept Find the slope from the given equations. Example 1) y = -2x + 3Example 2) y = -5x – 7 Example 3) 4y = 8x – 12 Example 4) -10x + 5y = 25

You Try! Find the slope. A) -36x + 6y = 72B) y = 9x – 1

Graphing Equations Ex. 1) y = -x + 3 Ex. 2) 6x – 2y = 12

Parallel Slopes Ex. 1) y = 3x + 4Ex. 2) y = -4x + 2 y = 3x – 2 -2y = 8x + 10

Parallel Slopes Continued …. After graphing these parallel lines, what do you notice about each set of equations? The slopes (m) in each equation are the same. The y – intercepts (b) are different.

Perpendicular Slopes Continued After graphing these perpendicular lines, what do you notice about each set of equations? The slopes (m) in each equation are the negative reciprocal. The y – intercepts (b) are the same.

You Try! Example 3) Line 1: (2, -1) and (5, -7) Line 2: (0, 0) and (-1, 2)

More Examples: Determine if the following lines are parallel, perpendicular, or neither x + 3y = -92. y = -5x y = 4 – x -8x – 2y = 14 5y = x – 15 2x – 4y = Line 1: (1, 0) and (2, 0)6. Line 1: (2, 5) and (-2, 7) Line 2: (5, -5) and (-10, -5) Line 2: (0, 4) and (1, 6)

Begin working on your practice!!