SECTION 13.2 EQUATIONS OF LINES You did some of this before break!

Slides:

Advertisements

Similar presentations

~ Chapter 6 ~ Algebra I Algebra I Solving Equations

Advertisements

3.3, 3.6 & 3.7 Parallel and Perpendicular lines

5.7 Parallel and Perpendicular Lines

Bellwork Partner Activity for graphing.

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

Slope Intercept Form Y intercept The y-intercept is the point where a line crosses the y axis. At this point the value of x is 0. To find the y-intercept,

Linear Equations.

Linear Functions.

3.5 Lines in the Coordinate Plane

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)

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

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)

Summer Assignment Review

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

Equations of lines.

Rates of Change (Slope)

Writing Linear Equation using slope-intercept form.

The slope of a line. We define run to be the distance we move to the right and rise to be the corresponding distance that the line rises (or falls). The.

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

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.

Day 10 Geometry. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)

Section 2.4 Notes: Writing Linear Equations. Example 1: Write an equation in slope-intercept form for the line.

Linear Models & Rates of Change (Precalculus Review 2) September 9th, 2015.

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

3-7 Equations of Lines in the Coordinate Plane

2.4 – Writing Linear Equations. 2.4 – Writing Linear Equations Forms:

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

Section 2.5 Other Equations of Lines  Point-Slope Form (y – y 1 )=m(x – x 1 )  Special pairs of lines: Parallel Lines m 1 = m 2 Perpendicular lines m.

Algebra 2 Lesson 2-4 Writing Linear Equations. Different Forms of Linear Equations Slope-intercept Form: y = mx + b Standard Form: Ax + By = C Point-Slope.

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

 Complete the tables x5x – xx

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

Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:

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

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

M Linear equations also known as lines. m Each line is defined by: intercepts and slope m Slope is the change in y over the change in x m rise over run.

Algebra I CAHSEE Review. Slope-Intercept Form  Graphs 1. Which of the following graphs represents the equation ? A.B. C.D.

X and Y Intercepts.

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.

Write an equation of a line by using the slope and a point on the line.

Big Idea: -Verify that a point lies on a line, given the equation of the line. -Derive linear equations by using the point-slope formula. 5-1(Part 1) Write.

Linear Flyswatter First player to slap the correct answer to the problem on the top of the slide gets a point for his or her team.

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

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

Graphing Test Review Algebra.

7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):

Geometry Section 3.7 cont. “Writing Equations of Lines”

Writing Linear Equations (Slope- Intercept Form).

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.

Algebra 2 Chapter 2.4a Writing Linear Equations Target Goals: 1.Write an equation of a line in slope-intercept form, point-slope form, or standard form.

Geo A Chapter 7 Writing Linear Equations Write the point-slope form of the line that passes through the point (-3, -1) and has a slope of 1.

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.

4.5 The Point-Slope Form of an Equation of a Line

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

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:

I can determine when lines are parallel and write equations of parallel lines.

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

2.2: Linear Equations. Graphing Linear Equations y is called the dependent variable because the value of y depends on x x is called the independent variable.

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.

2.4 More about Linear Equations

§2.4 Write Equations of Lines CA Standard: Algebra 1: 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able.

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

2.6 Finding equations of lines. Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )

MTH 100 The Slope of a Line Linear Equations In Two Variables.

Graphing Points & Lines Sections covered: 1.8 The Coordinate Plane 3.6 Lines in the Coordinate Plane.

Section 2.2 – Linear Equations Def: Linear Equation – an equation that can be written as y = mx + b m = slope b = y-intercept.

Warm Up! – Graph the line that satisfies each condition

Section 1.2 Straight Lines.

Presentation transcript:

SECTION 13.2 EQUATIONS OF LINES You did some of this before break!

Memory Refresher! Forms for Linear Equations Slope-Intercept Point-Slope Standard Important Tid-Bits The book doesn’t really use standard form, but tests/quizzes/ACT/AP tests do! When it is not stated, answer in point-slope form Any of the forms can be converted into each other!

Horizontal and Vertical Lines Horizontal Lines Slope = Cross the ___ axis Vertical Lines Slope = Cross the ___ axis

Other types of Lines… Perpendicular Lines Slopes are… Ex: What is the slope of the line to… Parallel Lines Slopes are… Ex: What is the slope of the line || to…

EX 1: Given (2, -6) and (4, 1) Write in pt/slope form: Write in Standard Form:

EX 2: Write the eq. of the line with a slope of 4 and x-intercept of 9. Intercepts twice those of 4x + 3y = 12

EX 3: Does the point (6, 7)… Lie on the line with a slope of -5 and a y-intercept of 4?

EX 4: Write the equation of the…in pt/slope form. a.) Median to AB b.) bis of ABc.) Alt to AB from C