1.6 Warm Up 1.Find the slope between the points: 1.(9,3) & (-1, -6) _______ 2.(4, -3) & (0, -3) _ 3.(2, 1) & (-5, 8) __________.

Slides:

Advertisements

Similar presentations

Write an equation given the slope and a point

Advertisements

A3 2.4 Parallel and Perpendicular Lines, Avg. rate of change

Parallel and Perpendicular Lines

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

7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.

Unit 1 Basics of Geometry Linear Functions.

5.7 Parallel and Perpendicular Lines

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

Objective - To write equations of parallel and perpendicular lines.

Finding Equation of Lines Parallel and Perpendicular to Given Lines Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals.

Linear Functions.

1/4/2009 Algebra 2 (DM) Chapter 7 Solving Systems of Equations by graphing using slope- intercept method.

2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

1.6 Graph Using Slope-Intercept Form E.Q. How do I graph using slope intercept form?

Graphing and Writing Equations in Slope-Intercept Form

Summer Assignment Review

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

Equations of lines.

1-1MONTUEWEDTHUFRI 1-2MONTUEWEDTHUFRI 1-3MONTUEWEDTHUFRI 1-4MONTUEWEDTHUFRI 1-5MONTUEWEDTHUFRI 1-6MONTUEWEDTHUFRI 1-7MONTUEWEDTHUFRI 1-8MONTUEWEDTHUFRI.

Writing Linear Equation using slope-intercept form.

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

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.

Section 1.1 Slopes and Equations of Lines

Day Problems Graph each equation.

Warmups 1. Graph y = Graph y = 2x Write an equation in standard form: (2,-2) (1,4) 4. Parallel, Perpendicular or neither?

3.6 Finding the Equation of a Line

3-7 Equations of Lines in the Coordinate Plane

Geometry: Parallel and Perpendicular Lines

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

Chapter 7 Determine the Relationship of a System of Equations 1/4/2009 Algebra 2 (DM)

Slopes of Parallel and Perpendicular Lines (3.6) Objective: To relate slope of parallel and perpendicular lines, and to write equations of parallel and.

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

Warm Up Find the value of m B Writing the Equation of the Line.

Date Equations of Parallel and Perpendicular Lines.

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

2.4 Essential Questions What is the point-slope form?

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

What are the characteristics of Lines in the Plane? Section P4 (new text)

Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1.Slope of the line 2.Point-Slope equation of the line 3.Slope-Intercept equation.

TSW calculate slope given two points TSW calculate slope for parallel/perpendicular lines TSW write linear equations given slope and y-intercept TSW write.

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

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.

Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.

5.1 Slope-Intercept Form Day 2. Given the slope and y-intercept, create the equation of the line. 1.Slope = Slope = 1/3 3. Slope = -2/5 y-int =

5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 22. SOLUTION The.

Section P.2 – Linear Models and Rates of Change. Slope Formula The slope of the line through the points (x 1, y 1 ) and (x 2, y 2 ) is given by:

Equations of Lines in the Coordinate Plane and Slopes of Parallel and Perpendicular Lines Objective: Students will find the slopes of lines and.

Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.

2.2: Linear Equations Our greatest glory is not in never falling, but in getting up every time we do.

Linear Functions and Slope

EXAMPLE 2 Determine whether lines are parallel or perpendicular Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b:

Parallel and Perpendicular Lines. 1. Fill in the chart with the missing slopes. (similar to p.234 #22) Slope of the Given Line Slope of a Line Parallel.

Parallel and Perpendicular. 1. What is the slope of y = 3? a. 3 b. 0 c. Undefined d

3.6 Finding the Equation of a Line

Lines, Slopes, Equations

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

EXAMPLE 2 Identify parallel lines

Writing Equations of Lines

5-6 Parallel and Perpendicular Lines

EXAMPLE 1 Find slopes of lines in a coordinate plane

m = 1 undefined Warm up Find the slopes of the following points:

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

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:

1.6 Warm Up 1.Find the slope between the points: 1.(9,3) & (-1, -6) _______________ 2.(4, -3) & (0, -3) _______________ 3.(2, 1) & (-5, 8) ________________ 4.(-4, -5) & (-4, 9) ______________

1. Find the slope of the line through (-3,2) and (4, -7). 2. Find the slope of the line that passes through (–5, 6) and (0, 8). 3. Describe a line with zero slope. Give an example. 4. Describe a line with undefined slope. Give an example. 5. Find the rate of change of calories per minute. Explain what this means (in the real world). Time (min.) Calories Daily Grade Only!!!!!!!!!

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 2 2.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. 3x – 3y = GUIDED PRACTICE for Example 1

SOLUTION EXAMPLE 2 Graph an equation using slope-intercept form Graph the equation 2x + y = 3. STEP 1 Rewrite the equation in slope-intercept form. y – 2x + 3 =

EXAMPLE 2 Graph an equation using slope-intercept form 4. Graph the equation y = – 2x + 5. GUIDED PRACTICE for Examples 2 and 3

Parallel lines have the SAME slope!!!! Perpendicular lines have opposite reciprocal slopes!!!

EXAMPLE 5 Identify parallel lines GUIDED PRACTICE for Examples 4 and 5 Determine which lines are parallel: line a through (-1, 2) and (3, 4); line b through (3, 4) and ( 5, 8); line c through (-9, -2) and (-1, 2). 7. SOLUTION Line a: m = 4 – 2 3 –(1) 8 – 4 5 – 3 = = Line b: m = – 4 – 2 = Line c: m = 2 – (–2) – 1 – (– 9) 2+2 –1+ 9 = 4 8 = Find the slope of each line. = 2 = 1 2 Line a and line c have the same slope, so they are parallel.

What value for k would make the lines parallel? 1. Line 1 (-1, -4) and (0, 2) Line 2 (1, 3) and (k, 9) 2. Line 1 (-3, 9) and (-1, 1) Line 2 (-2, 10) and (1, k) k = 2 k = -2