Pre-Calc w/Trig Problem of the Day Find the Slope and y-intercept of the following 4(y – 6) + 8y – 2x = 4(y – 5) Answer: y = ¼ x + ½ So m = ¼ and b = ½.

Slides:

Advertisements

Similar presentations

2.4 Write Equations of Lines

Advertisements

Write and Graph Equations of Lines

Parallel & Perpendicular Lines

5.6 Parallel and Perpendicular Lines

Bellwork Partner Activity for graphing.

Write an equation given the slope and a point EXAMPLE 2 Write an equation of the line that passes through (5, 4) and has a slope of –3. Because you know.

Lesson 5.1 Write Equations in Slope-Intercept Form.

3.5 Lines in the Coordinate Plane

Objectives Use slope-intercept form and point-slope form to write linear functions. Write linear functions to solve problems. Recall from Lesson 2-3 that.

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)

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

11.6 The Slope Intercept Form

7.2 Review of Equations of Lines; Linear Models

Bellwork Find the slope of the line containing the points (-1,12) and (5,-6). Find the product of the slope and y-intercept for the line y=-5x+7. Write.

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

Table of Contents Lines: Point-Slope Equation The point-slope equation of a nonvertical line is y – y c = m(x – x c ). Here, m is the slope and x c, y.

Rates of Change (Slope)

Writing Linear Equation using slope-intercept form.

Writing Linear Functions

1.2 Linear Equations in Two Variables

1.3 Linear Equations in Two Variables Objectives: Write a linear equation in two variables given sufficient information. Write an equation for a line.

Parallel and Perpendicular Lines Chap 4 Supplemental Lecture.

Writing the Equation of a Line

Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.

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.

2.5 Writing Equation of a Line Sept 19, Equations of a Line equation written in the form Ax + By = C where A and B are not both zero Slope-Intercept.

Section 1.1 Slopes and Equations of Lines

Day Problems Graph each equation.

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

1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y =

HPC 1.6 Notes Learning Targets: - Interpret the slope of a line - Write equations in slope-intercept form - Write equations in point-slope form.

Point-Slope Formula Writing an Equation of a line Using the Point-Slope Formula.

1.Given slope (m) and y-intercept (b) create the equation in slope- intercept form. 2. Look at a graph and write an equation of a line in slope- intercept.

Algebra 3 Lesson 1.3 Objectives: SSBAT write the equation of a line given the slope and y-intercept. SSBAT write the equation of a line given the slope.

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

Lines. Slope Measure of units the line rises for each unit of horizontal change - symbol (m) m = Δy = y 2 – y 1 Δx x 2 – x 1 if x 2 = x 1 then m is undefined.

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

Date Equations of Parallel and Perpendicular Lines.

2.4 Essential Questions What is the point-slope form?

For the line that passes through points (-4, 3) and (-2, 4).

Advanced Algebra 1. Slope-Intercept Form Point-Slope Form.

Lines in the Plane Section 1.1. By the end of this lesson, I will be able to answer the following questions… 1. How do I find the slope and equation of.

Slopes and Equations of Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 2.

Linear Equations in Two Variables

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

Slope  The SLOPE of a line (m) is the ratio of the vertical change (rise) to the horizontal change (run) between any 2 points.

Are You Smarter Than a 5 th Grader? 1,000,000 5th Grade 5th Grade Equations 5th Grade 5th Grade Equations 5th Grade 5th Grade Equations 4th Grade 4th.

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.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Functions and Their Graphs 1.1 Lines in the Plane.

Copyright © 2011 Pearson Education, Inc. Linear Equations in Two Variables Section 1.4 Equations, Inequalities, and Modeling.

2.2 Linear Equations Graph linear equations, identify slope of a linear equation, write linear equations.

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.

2.5 Writing Equation of a Line Sept 9, 2013 Example 1 Write an Equation Given a Graph Write an equation of the line in slope intercept form. 3 5 y-int(b)

4.3 – Writing Equations in Point Slope Form. Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.

Lines in the Coordinate Plane

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:

3.6 - Equations of Lines in the Coordinate Plane Please view the presentation in slideshow mode by clicking this icon at the bottom of the screen.

1.4 Graphing Lines If real is what you can feel, smell, taste, and see, then “real” is simply electrical signals interpreted by the brain. -Morpheus.

Slopes of Parallel and Perpendicular Lines. Different Forms of a Linear Equation  Standard Form  Slope-Intercept Form  Point-Slope Form  Standard.

Drill #23 Determine the value of r so that a line through the points has the given slope: 1. ( r , -1 ) , ( 2 , r ) m = 2 Identify the three forms (Point.

Point-Slope Formula I can write an equation given a point and the slope.

Slope of a Line. Slopes are commonly associated with mountains.

Warm Up! – Graph the line that satisfies each condition

POINTS AND LINES ON THE COORDINATE PLANE

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

Lesson 1.3 Algebra 3 Objectives:

Homework Lesson 4.03_ pg 287_ #8-11.

Presentation transcript:

Pre-Calc w/Trig Problem of the Day Find the Slope and y-intercept of the following 4(y – 6) + 8y – 2x = 4(y – 5) Answer: y = ¼ x + ½ So m = ¼ and b = ½

Pre-Calc w/Trig Lesson 1.4 B Objectives: SSBAT write the equation of a line given a point and the slope or 2 points on the line. SSBAT write the equation of a line parallel or perpendicular to a given line and given a point. Standards: M11.A.2.2.1, M11.D.2.1.3, M11.D.3.2.2

Writing an Equation given the Slope and Y-intercept  Substitute the slope and y-intercept into the equation y = mx + b for m and b

2. Slope is -9 and y-intercept is -4 m b y = -9x – 4

Point-Slope Form of the Equation of a Line Used to write the equation of a line given 1) A point on the line and the slope 2) 2 points on the line y - y 1 = m(x - x 1 ) Where m is the slope and (x 1, y 1 ) is a point on the line

1. Find the equation of the line containing the point (1,-2) and having a slope of 3. Write your answer in slope- intercept form. y - (- 2) = 3(x - 1) y + 2 = 3x – 3 y = 3x – 5

2. Find the equation of the line containing the point (-8, 5) and having a slope of ½. Write your answer in slope-intercept form. y - (5) = ½ (x - -8) y - 5 = ½ x + 4 y = ½ x + 9

3.Find the equation of the line containing the points (8, -1) and (2, 5) Write your answer in slope-intercept form. 1 st find the slope of the line through the points 2 nd choose one point and use point-slope form

Equation of Horizontal Line y = # Equation of Vertical Line x = # Remember: Horizontal Line  Slope is 0 Vertical Line  Slope is Undefined

1. Write the equation of the line through the points (-3, 8) and (7, 8) Slope of 0  Horizontal Line Equation of Horizontal Line  y = #  The number is the y-coordinate of the point it goes through Equation of Line is y = 8

2. Write the equation of the line through the points (5, 4) and (5, -7) Slope is UNDEFINED  Vertical Line Equation of Vertical Line  x = #  The number is the x-coordinate of the point it goes through Equation of Line is x = 5

On Your Own. Write the equation of each line. Write your answer in slope-intercept form. 1.Through the points (4, -1) and (1, 5) 2.Perpendicular to the line y = 5/2 x + 7 and through (-4, 0) y = -2x + 7

No Homework

Day 2 – In Class  Page 40 – 41 #17 – 24 All #25, 27, 30 #36 – 41 All