Equations of lines.

Slides:

Advertisements

Similar presentations

Perpendicular Lines and Slope

Advertisements

Parallel and Perpendicular Lines

Parallel & Perpendicular Lines

4-7B Perpendicular Lines Algebra 1 Glencoe McGraw-HillLinda Stamper.

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.

4.4 Parallel and Perpendicular Lines

5.7 Parallel and Perpendicular Lines

2.4.2 – Parallel, Perpendicular Lines

Cartesian Plane and Linear Equations in Two Variables

Linear Functions.

4.1 Introduction to Linear Equations in Two Variables

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)

Graphing and Writing Equations in Slope-Intercept Form

2.3 Linear Functions.

EXAMPLE 1 Write an equation of a line from a graph

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.

Trigonometry/ Pre-Calculus Chapter P: Prerequisites Section P.3: Lines in the Plane.

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

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.

Day Problems Graph each equation.

Parallel and Perpendicular lines I can write an equation of a line that passes through a given point, either parallel or perpendicular to a given 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.

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.

Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target: Students can prove the slope criteria for parallel and perpendicular.

3.6 Finding the Equation of a Line

Everything You Will Ever Need To Know About Linear Equations*

Chapter 8 Review.

3-7 Equations of Lines in the Coordinate Plane

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

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

X and Y Intercepts.

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) ________________.

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.

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.

Algebra 2 Chapter 2.4b Writing Linear Equations Target Goals: 1.Write an equation of a line parallel or perpendicular to a given line.

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.

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:

Warm up Recall the slope formula:

Write Equations of Parallel and Perpendicular Lines

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.

2.4 More about Linear Equations

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

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

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

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

Everything You Will Ever Need To Know About Linear Equations* *Whether You Wanted To Know It Or Not!

5.6 Parallel and Perpendicular Equations

POINTS AND LINES ON THE COORDINATE PLANE

What is a right triangle?

Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

2.5 Linear Equations.

TEST 1-4 REVIEW 381 Algebra.

5-6 Parallel and Perpendicular Lines

Section 1.2 Straight Lines.

Warm up Write an equation given the following information.

TEST 1-4 REVIEW 381 Algebra.

Presentation transcript:

Equations of lines

Given the slope and y-intercept. Use slope-intercept formula. Substitute the slope for m. Substitute the y-intercept for b. Ex. Write the equation of a line that has a y-intercept of -3 and a slope of ½.

Given the slope and a point. Use point-slope formula. Substitute the slope for m. Substitute the point for (x1, y1). Ex. Write the equation of a line that has a slope of 2 and passes through the point (-1, -3).

Given two points. Use the slope formula. Find the slope. Use point-slope formula. Substitute the slope for m. Substitute one of the given points for (x1, y1). Ex. Write the equation of a line passes through the points (0, -3) and (4, 5).

D: {2}, R: {all real numbers} Vertical Lines Have an undefined slope. Equation: x = # Domain is a single x-value. Range is all real numbers. Example x = 2 D: {2}, R: {all real numbers}

D: {all real numbers}, R: {2} Horizontal Lines Have a slope of zero. Equation: y = # Domain is all real numbers. Range is a single y-value. Example y = 2 D: {all real numbers}, R: {2}

x-intercept Point where a line crosses the x-axis. (#, 0) Find by setting y = 0 and solving for x.

y-intercept Point where a line crosses the y-axis. (0, #) Find by setting x = 0 and solving for y.

The graph has a slope of -3 and a y-intercept of 4. Describing a graph Describe a graph of a linear equation using the slope and y-intercept. First write the equation in slope-intercept form. Ex. 3x + y = 4 y = -3x + 4 The graph has a slope of -3 and a y-intercept of 4.

Parallel Lines Ex. y = -3x + 4 and y = -3x – 3 Same slope Different y-intercepts Parallel lines will NEVER intersect. Ex. y = -3x + 4 and y = -3x – 3

Perpendicular Lines Ex. y = -3x + 4 and y = (1/3)x – 3 Slopes are opposite reciprocals Different y-intercepts Perpendicular lines form 90 degree angles at their intersection. Ex. y = -3x + 4 and y = (1/3)x – 3