Topic 3 – Linear Functions, Equations, and Inequalities Class 4 – Slope-Intercept Form Mr. Solórzano – Algebra 1.

Slides:

Advertisements

Similar presentations

Writing Linear Equations Using Slope Intercept Form

Advertisements

5-6 Slope-Intercept Form Warm Up Lesson Presentation Lesson Quiz

1. (1, 4), (6, –1) ANSWER Y = -x (-1, -2), (2, 7) ANSWER

SOLUTION EXAMPLE 3 Determine whether lines are perpendicular Line a: 12y = –7x + 42 Line b: 11y = 16x – 52 Find the slopes of the lines. Write the equations.

4.7 Graphing Lines Using Slope Intercept Form

Writing and Graphing Equations of Lines

Objectives Find the two intercepts Graph a line using intercepts

7.2 Review of Equations of Lines; Linear Models

Graphing Linear Equations in Slope-Intercept Form.

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

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

3.4 Graph of Linear Equations. Objective 1 Use the slope-intercept form of the equation of a line. Slide

EXAMPLE 3 Write an equation of a line given two points

Write an equation given two points

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

2-4: Writing Linear Equations Using Slope Intercept Form.

4.1 Write Linear Equations in slope-intercept form

Warm Up Alice finds her flower bulbs multiply each year. She started with just 24 tulip plants. After one year she had 72 plants. Two years later she had.

System of equations and Inequalities….! By Cory Hunter.

2.4 Writing Equations for Linear Lines

Daily Homework Quiz Review 5.3

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

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

Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz

-2 -5 Objective - to use slope-intercept form to write

Lesson 2-3 Objective The student will be able to: 1) write equations using slope-intercept form. 2) identify slope and y-intercept from an equation.

Do Now Write the slope-intercept equation of this line.

EXAMPLE 4 Write an equation of a line from a graph Gym Membership The graph models the total cost of joining a gym. Write an equation of the line. Explain.

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 22. SOLUTION The.

Point-Slope Form 4-7 Warm Up Lesson Presentation Lesson Quiz

Slope-Intercept Form of a Linear Equation. Is this a linear equation? 3x + 2y = 6.

5.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Linear Equations in Slope-Intercept Form.

Warm-Up Exercises Find the slope of the line that passes through the points. 2.(3, 2), (5, –2) ANSWER 1.(0, –2), (1, 3) –2 ANSWER 5.

Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.

Jeopardy Inequalities Standard Form Slope, Y-Intercept, X-Intercept Systems of Equations Q $100 Q $200 Q $300 Q $400 Q $100 Q $200 Q $300 Q $400 Slope-

ACC ALGEBRA MIDTERM REVIEW. QUESTION #1- SOLVE QUESTION #2- SOLVE.

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

SOLUTION EXAMPLE 3 Determine whether lines are perpendicular Line a: 12y = – 7x + 42 Line b: 11y = 16x – 52 Find the slopes of the lines. Write the equations.

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.

INTERPRET LINEAR GRAPHS & WRITE LINEAR EQUATIONS SECTION 5.4C.

Algebra 1 Bell Ringer Find the slope of the line that passes through the points. 1.(2, –1), (4, 0) 2.(–1, –3), (1, 5) 3. A landscape architect charges.

Do-Now Evaluate the expression when x = –3. –5 ANSWER 1. 3x

Topic 3 – Linear Functions, Equations, and Inequalities Class 5 – Point-Slope Form Mr. Solórzano – Algebra 1.

§ 1.5 Equations of Lines.

Lesson 4.1 Writing Equations in Slope-Intercept Form

Point-Slope Form and Writing Linear Equations

OBJECTIVE I will use slope-intercept form to write an equation of a line.

§ 1.5 Equations of Lines.

3.1 Solving Two-Step Equations

Opening Routine – In your Notebook

Writing Equations of a Line

The equation of a line can be written in many different forms

Lesson 7.1 How do you solve systems of linear equations by graphing?

Point-Slope Form and Writing Linear Equations

Any linear equation which is solved for y is in

Writing Linear Equations Given Two Points

Write Equations of Lines

Section 6.1 Slope Intercept Form.

Point-Slope Form 5-7 Warm Up Lesson Presentation Lesson Quiz

SAT Jeopardy Final Jeopardy Linear Equations Graphing Systems $100

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

3.1 Solving Two-Step Equations 1 3x + 7 = –5 3x + 7 = –5 – 7 – 7

6 minutes Warm-Up 1. Find the slope of the line containing the points (-2,5) and (4,6). 2. Find the slope of the line y = x – Find the slope of the.

Objectives The student will be able to:

11.2 Slope: y-intercept: 5.

Objectives Write a linear equation in slope-intercept form.

ALGEBRA I - REVIEW FOR TEST 2-1

Topic 3 Mrs. Daniel- Algebra 1.

Presentation transcript:

Topic 3 – Linear Functions, Equations, and Inequalities Class 4 – Slope-Intercept Form Mr. Solórzano – Algebra 1

Objectives Essential Question Create equations in slope-intercept form Graph from equations in slope-intercept form Determine solutions of equations in two variables Essential Question How can you represent a linear function in a way that reveals its slope and y-intercept?

Graphs of linear equations can be used to model many real-life situations. Given the slope and y-intercept, you can graph the line, and use the graph to answer questions. Andrew wants to buy a smart phone that costs $500. His parents will pay for the phone, and Andrew will pay them $50 each month until the entire amount is repaid. The loan repayment represents a linear situation in which the amount y that Andrew owes his parents is dependent on the number x of payments he has made. The y-intercept is The rate of change (slope) is How many months will it take Andrew to pay off his loan?

Slope-Intercept form of an equation If a line has slope m and y-intercept (0, b) , then the line is described by the equation y = mx + b. Write the equation of each line in slope-intercept form. Slope is 3, and (2, 5) is on the line. Step 1 1) Write the slope–intercept form. 2) Substitute 3 for m, 2 for x, and 5 for y. 3) Multiply. 4) Subtract 6 from both sides. 5) Simplify. Step 2: Write the equation. Write the slope–intercept form. Substitute 3 for m and -1 for b.

The line passes through (0, 5) and (2, 13) Step 1: Use the points to find the slope. Recall Step 2: Substitute the slope and x- and y-coordinates of either of the points in the equation y = mx + b.

Write the equation of each line in slope-intercept form. 2) The line passes through (1, 4) and (3, 18) . 1) Slope is −1, and (3, 2) is on the line.

Graphing from Slope-Intercept Form y = 5x - 4 2x + 6y = 6

Write each equation in slope-intercept form. Then graph the line. 2x + y = 4 2x + 3y = 6

Create the equation in y = mx + b and use it to answer question Identify the slope and y-intercept of the graph that represents each linear situation and interpret what they mean. Then write an equation in slope-intercept form and use it to solve the problem. For one taxi company, the cost y in dollars of a taxi ride is a linear function of the distance x in miles traveled. The initial charge is $2.50, and the charge per mile is $0.35. Find the cost of riding a distance of 10 miles. Steps Find the rate of change Find the initial value Create the equation in y = mx + b and use it to answer question

A chairlift descends from a mountain top to pick up skiers at the bottom. The height in feet of the chairlift is a linear function of the time in minutes since it begins descending as shown in the graph. Find the height of the chairlift 2 minutes after it begins descending.

Identify the slope and y-intercept of the graph that represents the linear situation and interpret what they mean. Then write an equation in slope-intercept form and use it to solve the problem. A local club charges an initial membership fee as well as a monthly cost. The cost C in dollars is a linear function of the number of months of membership. Find the cost of the membership after 4 months.