1. Does y vary directly with x ? If so, what is the constant of variation, and the function rule? 2. y varies directly with x, and y = 24 when x = -15,

Slides:



Advertisements
Similar presentations
Write and Graph Equations of Lines
Advertisements

Lines with Zero Slope and Undefined Slope
~ Chapter 6 ~ Algebra I Algebra I Solving Equations
Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.
Section 2.3 – Linear Functions and Slope-Intercept Form Consider a nonvertical line in the coordinate plane. If you move from any point on the line to.
12-3 Using Slopes and Intercepts Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
(For help, go to Lessons 1-6 and 2-6.) ALGEBRA 1 LESSON 6-2 Slope-Intercept Form 8-4 Evaluate each expression. 1. 6a + 3 for a = 22. –2x – 5 for x = 3.
Pre-Class Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (-1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, -1)
Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?
Objectives Use slope-intercept form and point-slope form to write linear functions. Write linear functions to solve problems. Recall from Lesson 2-3 that.
1/4/2009 Algebra 2 (DM) Chapter 7 Solving Systems of Equations by graphing using slope- intercept method.
Finding the Intercepts of a Line
Learn to use slopes and intercepts to graph linear equations.
Slope-Intercept Form Page 22 10/15. Vocabulary y-Intercept: the point at which a function crosses the y-axis (0, y) x-intercept: the point at which a.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.
11.6 The Slope Intercept Form
Graphing and Writing Equations in Slope-Intercept Form
Graphing Linear Equations in Slope-Intercept Form.
Graphs of Equations Finding intercepts of a graph Graphically and Algebraically.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
Plot and label the ordered pairs in a coordinate plane. (Lesson 4.1) A(-5, 2), B(0, 5), C(-6, 0)
MTH 070 Elementary Algebra I
Writing Linear Equation using slope-intercept form.
TODAY IN ALGEBRA…  Warm up: Calculating Slope  Learning Goal: 5.1b You will write equations of lines in slope intercept form given two points  Independent.
2.2: Do Now: Determine if the following point is on the graph. 1.) 2.)
Graphing Linear Equations. Linear Equation An equation for which the graph is a line.
Writing the Equation of a Line
Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (–1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, –1) 4. (–3, 0)
Slope-Intercept Form of a Line
1 What you will learn today 1. Review of slope 2. How to determine slope 3. How to graph a linear equation in y = mx + b form 4. Slopes of parallel and.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.
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.
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 =
5-3 Slope Intercept Form A y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. *Use can use the slope and y-intercept.
Chapter 8 Review.
Chapter 7 Determine the Relationship of a System of Equations 1/4/2009 Algebra 2 (DM)
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.
8.4 The Slope-Intercept Form of a Linear Equation Objective: To use the Slope-Intercept Form of a linear equation. Warm – up: Solve each equation for y.
Today in Algebra 2 Go over homework Notes Study Guide Homework
Lesson 1-3, 1-4 Represent Functions as Graphs; Graphing Linear Equations using Intercepts.
2.3 Graphing Linear Equations in Slope-Intercept Form.
What are the characteristics of Lines in the Plane? Section P4 (new text)
X and Y Intercepts.
Warm – up #3 1. Write an equation of a line with slope 4 and y-intercept at (0, -3) 2. Write 12 – y = 2x – 5 in slope- intercept form. What are the slope.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, even) Quiz : Wednesday, 10/9.
Graphing Test Review Algebra.
Warm – up #2 1. Does y vary directly with x ? If so, what is the constant of variation, and the function rule? 2. y varies directly with x, and y = 24.
2.3 Linear Functions and Slope-Intercept Form The slope of a nonvertical line is the ratio of the vertical change to the horizontal change between two.
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):
Writing Linear Equations (Slope- Intercept Form).
Warm – up #6. Homework Log Fri 11/6 Lesson 3 – 4 Learning Objective: To write equations in standard form & graph piecewise functions Hw: #307 Pg. 192.
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.
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:
The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.
Linear Functions and Slope
Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?
Warm – up #4 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.
1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.
Bell Ringer Rewrite from standard to slope intercept form: 1. 2x + 4y = x + 8y = 32 Learning Target: I can graph the equation of a line from the.
SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is.
2 – 3: Quick Graphs of Linear Equations Objective: CA Standard 17: Use the slope – intercept form of a linear equation to graph a linear equation. Use.
Pre-Algebra 11-3 Using Slopes and Intercepts Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (-1, 4) 2. (1, 2)
Standard Form Equation of a Line Name Feb 29, 2011 Are these equations of the SAME LINE? y = x + 2 x – y = -2.
TODAY IN ALGEBRA…  Warm Up: Writing equation in slope- intercept form, then identifying the slope and y-intercept  Learning Goal: 4.6 You will write.
Chapter 6 Lesson 2 Slope-Intercept Form. Define: Slope-Intercept Form Define: Slope-Intercept Form The slope-intercept form of a linear equation is y.
Using Slopes and Intercepts Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (–1, 4) 2. (1, 2) and (6, 1) 3. (4,
Intro U4D10 Warmup Find the slope of the line that passes through each pair of points. 1. (3, 6) and (-1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, -1)
TODAY IN ALGEBRA…  Warm Up: Solving for y  Learning Goal: 4.3 You will graph a linear equation using intercepts  Independent Practice  Mid. Ch.4 TEST-Monday/Tuesday!
Warm Up – August 15, Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.
Presentation transcript:

1. Does y vary directly with x ? If so, what is the constant of variation, and the function rule? 2. y varies directly with x, and y = 24 when x = -15, what is x when y = 16

Wed 9/23 Lesson Learning Objective: To write eq’ns of lines in slope-intercept form Hw: Pg. 78 # 13 – 27 odd, 47 – 49, CC *7, *46, *58

Algebra II

 To write equations of lines in slope-intercept form

 Linear Equation – represents a linear function. y = 3x – 7 Solution of a linear equation – any ordered pair (x, y) that makes the equation true.

 Slope-intercept form – an equation of a line y = mx + b y-intercept slope y-intercept – point where line crosses y-axis x-intercept – point where line crosses x-axis

To rewrite a linear equation into slope- intercept form Get the equation into y=+ by solving for y.

They are perpendicular because the slopes 1 and -1 are opposite reciprocals!

y= x models the amount of money in your wallet. y = total in dollars x = # of weeks from today 1. Is it in slope intercept form? 2. What is the slope? 3. What does the slope represent?