Using Point-Slope Form to get SIF. y – y 1 = m (x – x 1 ) Write an equation given: (Goal: y = mx + b) A point and the slope. ◦ Use the point-slope form.

Slides:

Advertisements

Similar presentations

Writing Linear Equations Using Slope Intercept Form

Advertisements

4-2 Writing equations in Slope Intercept Form

2.4 Writing the Equation of a Line

The equation of a line - Equation of a line - Slope - Y intercept

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.

Example 1 Write an Equation Given the Slope and a Point Write an equation of a line that passes through (2, –3) with slope Step 1.

Linear Equations in Two Variables

5.4 Point Slope Form.

Copyright © 2010 Pearson Education, Inc. All rights reserved. 3.4 – Slide 1.

Linear Equations in Two Variables Digital Lesson.

Writing Equations in Slope-Intercept Form Online Graphing Calculator.

Equations of Lines & Applications of Linear Equations in 2 Variables

EXAMPLE 4 Write an equation given two points

Write an equation given two points

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

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

2.4 Writing Equations for Linear Lines

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4–1) CCSS Then/Now New Vocabulary Example 1:Write an Equation Given the Slope and a Point Example.

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

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.

2.5 Writing Equation of a Line Part 2 September 21, 2012.

2.4 Essential Questions What is the point-slope form?

Over Lesson 4–1. Splash Screen Writing Equations in Slope-Intercept Form Lesson 4-2.

Find the equation of the line that has... A B C D E F

Unit 3 Part 2 Writing Equations Ax + By = C (standard form) y = mx + b (slope – intercept form)

Splash Screen. Then/Now You graphed lines given the slope and the y-intercept. Write an equation of a line in slope-intercept form given the slope and.

EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = = Simplify. Substitute.

Choosing the Best Method Objective: To choose the best method of writing a linear equation between Slope-Intercept Form and Point-Slope Form. o Warm –

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point-Slope Form of a Line Domino Effect #4 

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.

Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 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

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.

2.3 Equations of Lines Going the other direction – from a picture to the equation.

Use point-slope form to write an equation EXAMPLE 3 Write an equation in point-slope form of the line shown.

Writing Equations in Slope-Intercept Form

Check it out! 1.5.1: Rearranging Formulas 1. Read the scenario below. Write an equation and use it to answer the questions that follow. In January 2011,

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4–1) CCSS Then/Now New Vocabulary Example 1:Write an Equation Given the Slope and a Point Example.

Linear Functions and Slope

To write another equivalent equation, multiply each side by x – 12y = 8 To write one equivalent equation, multiply each side by 2. SOLUTION Write.

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

Splash Screen. Then/Now You graphed lines given the slope and the y-intercept. Write an equation of a line in slope-intercept form given the slope and.

SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?

Point-Slope Form Linear Equations in Two Variables.

5-4 Point-Slope Form and Writing Linear Equations Hubarth Algebra.

Objective: Write an equation of a line in slope- intercept form given the slope and one point or two points.

How to Write an Equation of a Line Given TWO points

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

§ 1.5 Equations of Lines.

§ 1.5 Equations of Lines.

Equations of straight lines

2.4 Writing the Equation of a Line

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Determining an Equation of a Line

Slope-Intercept Form 5.1 Day 1 Day 2 Day 3.

y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form

Writing Equations in Slope-Intercept Form

Slope-intercept Form of Equations of Straight Lines

Substitute either point and the slope into the slope-intercept form.

Algebra 1 Notes Lesson 5-4: Writing Equations in Slope-Intercept Form

2.4 Writing the Equation of a Line

Lines in the plane Presented by group 4.

Presentation transcript:

Using Point-Slope Form to get SIF

y – y 1 = m (x – x 1 ) Write an equation given: (Goal: y = mx + b) A point and the slope. ◦ Use the point-slope form and simplify. Two points ◦ Calculate m. ◦ Follow the steps above using only ONE of the ordered pairs.

Example 1 Write an equation in SIF that passes through (2, -3) with a slope of ½. Answer: y= ½ x - 4

Example 2 Write an equation of a line that passes through (4, -2) and has a slope of 2. Answer: y = 2x - 10

Example 3 Write an equation of the line that passes through (-3, -1) and (6,-4). Answer: y = -1/3 x - 2

Example 4 Write an equation of the line that passes through (5,1) and (8, -2). Answer: y= -x +6

Example 5 Write an equation of the line whose slope is -2 and has an x-intercept of 3. Answer: y = -2x + 6

Use the equation to predict: In Chicago, a regular gallon of gasoline cost $2.05 in May and $2.42 in June. Write an equation to represent this situation. (Use January as month 1.) Answer: y = 0.37x +0.20

Now use it to predict If the Yellow Cab Company has budgeted $7000 for their July gas and they use, on average, 3000 gallons per month, will they have to increase their budget? ◦ y = 0.37x ◦ Answer: The price of gas will be $2.79 in July. This means they will spend approx. $8370 in gas. They will need to increase their budget by $1370.