Point-Slope Form Section 5-4 Part 1.

Slides:



Advertisements
Similar presentations
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Advertisements

Section 3-5 Lines in the Coordinate Plane SPI 21C: apply concept of rate of change to solve real-world problems SPI 21D:
2.4 Writing the Equation of a Line
Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.
Warm Up Find the slope of the line containing each pair of points.
Solve each equation for y. 1. 3x + y = 52. y – 2x = x – y = x + 4y = 85. 9y + 3x = 16. 5y – 2x = 4 Clear each equation of decimals x.
Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz
Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz
Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz
CONFIDENTIAL 1 Algebra1 Point-Slope Form. CONFIDENTIAL 2 Warm Up Write the equation that describes each line in slope-intercept form. 1) slope = 3, y-intercept.
Holt McDougal Algebra Slope-Intercept Form Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 Find each slope x + 2y = x.
Solving Multi-Step Equations Section 2-3 Part 2. Goals Goal To solve multi-step equations in one variable. Rubric Level 1 – Know the goals. Level 2 –
Holt Algebra Point-Slope Form Warm Up Find the slope of the line containing each pair of points. 1. (0, 2) and (3, 4) 2. (–2, 8) and (4, 2) 3. (3,
Holt McDougal Algebra Point-Slope Form Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.
Point-Slope Form Section 5-4 Part 1. Goals Goal To write and graph linear equations using point-slope form. Rubric Level 1 – Know the goals. Level 2 –
Parallel and Perpendicular Lines Section 5-6. Goals Goal To determine whether lines are parallel, perpendicular, or neither. To write linear equations.
Direct Variation Section 5-2. Goals Goal To write and graph an equation of a direct variation. Rubric Level 1 – Know the goals. Level 2 – Fully understand.
Solving Systems Using Elimination Section 6-3. Goals Goal To solve systems by adding or subtracting to eliminate a variable. Rubric Level 1 – Know the.
Standard Form of a Quadratic Function Lesson 4-2 Part 1
Point-Slope Form Section 5-4 Part 2. Goals Goal To write and graph linear equations using point-slope form. Rubric Level 1 – Know the goals. Level 2 –
§ 1.3 Intercepts.
Linear Equation in Two Variables
Writing Linear Equations in Slope-Intercept Form
Slope-Intercept Form Section 5-3 Part 2.
OBJECTIVE I will use slope-intercept form to write an equation of a line.
Slope-Intercept Form Section 5-3 Part 1.
Learning Targets Graph a line and write a linear equation using point-slope form. Write a linear equation given two points. Warm Up Find the slope of the.
5-6 Slope-Intercept Form Warm Up Lesson Presentation Lesson Quiz
The Distributive Property
Absolute Value Functions and Graphs Lesson 2-7
Solving Systems Using Substitution
Slope-Intercept Form Section 5-3 Part 1.
Slope-Intercept Form 4-6 Warm Up Lesson Presentation Lesson Quiz
2.4 Writing the Equation of a Line
Point-Slope Form Section 5-4 Part 2.
Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.
To write equations of lines in the point-slope form.
Warm Up Find the slope of the line containing each pair of points.
Slope-Intercept Form Section 5-3 Part 2.
2.4 Writing the Equation of a Line
Slope-Intercept Form 4-6 Warm Up Lesson Presentation Lesson Quiz
Point-Slope Form and Writing Linear Equations
8/29/12 Writing the Equation of a Line
Standard Form Section 5-5.
More About Linear Equations Lesson 2-4 Part 2
Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz
Solving Systems Check Point Quiz Corrections
Linear Equations & Functions
Writing Linear Equations Given Two Points
Slope-Intercept Form 4-6 Warm Up Lesson Presentation Lesson Quiz
Forms of a linear equation
5.6 – point slope formula Textbook pg. 315 Objective:
Example 1A: Graphing by Using Slope and y-intercept
2-4: Writing Linear Equations Using Slope Intercept Form
5-6 Slope-Intercept Form Warm Up Lesson Presentation Lesson Quiz
Point-Slope Form 5-7 Warm Up Lesson Presentation Lesson Quiz
Substitute either point and the slope into the slope-intercept form.
ALGEBRA TWO Section Writing Equations of Lines
Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz
3-4 Day 1 Equations of Lines
Section Graphing Linear Equations in Three Variables
Remember! If you are absent, do the following BEFORE you come back to class Go to my website (type Muehleck into Google) Click on the lesson notes link.
Writing Equations of Lines
Section Quick Graphs of Linear Equations
11.2     Slope: y-intercept: 5.
Module 11-3 Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.
Warm Up Solve each equation for y. 1. 4x + 2y = x + 2 = 6y.
2.4 Writing the Equation of a Line
Linear Functions and Slope-Intercept Form Lesson 2-3
Presentation transcript:

Point-Slope Form Section 5-4 Part 1

Goals Goal Rubric To write and graph linear equations using point-slope form. Level 1 – Know the goals. Level 2 – Fully understand the goals. Level 3 – Use the goals to solve simple problems. Level 4 – Use the goals to solve more advanced problems. Level 5 – Adapts and applies the goals to different and more complex problems.

Vocabulary Point-Slope Form of a Line

Substitute into the slope formula. If you know the slope and any point on the line, you can write an equation of the line by using the slope formula. For example, suppose a line has a slope of 3 and contains (2, 1). Let (x, y) be any other point on the line. Substitute into the slope formula. Slope formula Multiply both sides by (x – 2). 3(x – 2) = y – 1 Simplify. y – 1 = 3(x – 2)

Point-Slope Form If you know the slope and any point on the line, you can write an equation of the line by using the slope formula.

Point-Slope Form y – y1 = m(x – x1) slope y-coordinate x-coordinate (x1, y1) represents a specific point and (x, y) represents any point. y – y1 = m(x – x1) slope y-coordinate x-coordinate

Example: Writing Linear Equations in Point-Slope Form Write an equation in point-slope form for the line with the given slope that contains the given point. A. B. C.

Your Turn: Write an equation in point-slope form for the line with the given slope that contains the given point. a. b. slope = 0; (3, –4) y – (–4) = 0(x – 3) y + 4 = 0(x – 3)

Example: Writing Linear Equations Using Point-Slope Form Write an equation in slope-intercept form for the line with slope 3 that contains (–1, 4). Step 1 Write the equation in point-slope form: y – y1 = m(x – x1) y – 4 = 3[x – (–1)] Step 2 Rewrite the equation in slope-intercept form by solving for y. Rewrite subtraction of negative numbers as addition. y – 4 = 3(x + 1) y – 4 = 3x + 3 Distribute 3 on the right side. + 4 + 4 Add 4 to both sides. y = 3x + 7

Your Turn: Write an equation in slope-intercept form for the line with slope that contains (–3, 1). Step 1 Write the equation in point-slope form: y – y1 = m(x – x1)

Continued Step 2 Rewrite the equation in slope-intercept form by solving for y. Rewrite subtraction of negative numbers as addition. Distribute on the right side. +1 +1 Add 1 to both sides.

Point-Slope Form and Graphing In Lesson 5-3, you saw that if you know the slope of a line and the y-intercept, you can graph the line. You can also graph a line if you know its slope and any point on the line.

Example: Graphing Using Point-Slope form Graph the equation What is the ordered pair? (x1, y1) = What is the slope? m = (2, 5) (2, 5)

Your Turn: Graph the equation What is the ordered pair? (x1, y1) = What is the slope? m = (-2, 5)

Example: Graphing Given a Point and the Slope Graph the line with the given slope that contains the given point. slope = 2; (3, 1) Step 1 Plot (3, 1). 1 • Step 2 Use the slope to move from (3, 1) to another point. 2 • (3, 1) Move 2 units up and 1 unit right and plot another point. Step 3 Draw the line connecting the two points.

Example: Graphing Given a Point and the Slope Graph the line with the given slope that contains the given point. slope = ; (–2, 4) (2, 7) 4 • Step 1 Plot (–2, 4). 3 (–2, 4) • Step 2 Use the slope to move from (–2, 4) to another point. Move 3 units up and 4 units right and plot another point. Step 3 Draw the line connecting the two points.

Example: Graphing Given a Point and the Slope Graph the line with the given slope that contains the given point. slope = 0; (4, –3) A line with a slope of 0 is horizontal. Draw the horizontal line through (4, –3). • (4, –3)

Your Turn: Graph the line with slope –1 that contains (2, –2). Step 1 Plot (2, –2). Step 2 Use the slope to move from (2, –2) to another point. (2, –2) • −1 • Move 1 unit down and 1 unit right and plot another point. 1 Step 3 Draw the line connecting the two points.

Joke Time Why do milking stools only have three legs? Because the cow’s got the udder! What did the mother Buffalo say when her boy left for college? Bye-Son! What do you do with a sick boat? Take it to the doc.

Assignment 5-4 Part 1 Exercises Pg. 340: #6 – 18 even