Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue,

Slides:



Advertisements
Similar presentations
2.2 – Linear Equations and their Intercepts. Recall… Linear Equation = equation in the form: ax + by = c – Highest Power (Degree) = 1 Non-Linear Equation.
Advertisements

Slope Intercept Form Y intercept The y-intercept is the point where a line crosses the y axis. At this point the value of x is 0. To find the y-intercept,
Warm Up 0?1? 2? Graph the linear functions.0?1? 2?
Notes Over 4.3 Finding Intercepts Find the x-intercept of the graph of the equation. x-intercept y-intercept The x value when y is equal to 0. Place where.
Quick graphs using Intercepts 4.3 Objective 1 – Find the intercepts of the graph of a linear equation Objective 2 – Use intercepts to make a quick graph.
4.5 Graphing Linear Equations
Rectangular Coordinate System
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?
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.
Graphing Linear Equations in Slope-Intercept Form.
Graphs of Equations Finding intercepts of a graph Graphically and Algebraically.
X y 1 st Quadrant2 nd Quadrant 3 rd Quadrant4 th Quadrant 13.1 – The Rectangular Coordinate System origin x-axis y-axis.
3.1 – Paired Data and The Rectangular Coordinate System
MTH 070 Elementary Algebra I
3.2 Intercepts. Intercepts X-intercept is the x- coordinate of a point when the graph cuts the x-axis Y-intercept is the y- coordinate of a point when.
In this lesson we will explore x and y intercepts of linear equations.
Graphing Using x & y Intercepts
Standard Form What you’ll learn To graph linear equations using intercepts To write linear equations in standard form x-intercept, standard form of a linear.
Warm Up #10 1.) Graph 5x + 7y =35 2.) Graph y= 2x -3.
Graph the following Y = 4 X = 3 Y = -5x + 2 6x + 3y = 9.
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)
Lesson 6-3 (Part 1) Standard Form page 298
Standard Form Section 6-4. Notes Standard Form of a Linear Equation: Ax + By = C where A, B, and C are real numbers.
Graphing Equations of Lines Using x- and y-Intercepts.
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 the x-intercept? The x-coordinate of a point where the graph crosses the x- axis. What is the y-intercept? The y-coordinate of a point where a.
Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:
Section 2.6 Using and Rearranging Formulas. 2.6 Lecture Guide: Using and Rearranging Formulas To solve a linear equation for a specified variable, we.
WRITING LINEAR EQUATIONS FINDING THE X-INTERCEPT AND Y- INTERCEPT.
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.
2.4 Graphing Linear Equation Sept 12, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By =
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.
Today’s Goal By the end of the period you will be able to: find the x- and y-intercepts of linear equations.
X and Y Intercepts.
Graphing Using X- and Y-Intercepts By: Michelle Van Ornum.
Objective: I can analyze the graph of a linear function to find solutions and intercepts.
The x-intercept of a line is the point (a,0) where the line intersects the x-axis. x and y Intercepts (a,0)
Refresher Thursday! Is (3, 4) a solution to the following equations? 2x + 3y = 184x - 2y = -4 2(3) + 3(4) = = = 18 yes, (3,4) is a solution.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
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.
FIND THE INTERCEPTS OF THE LINE 3X  4Y  24. X-INTERCEPT: THE X-COORDINATE OF THE POINT AT WHICH A LINE CROSSES THE X-AXIS Y-INTERCEPT: THE Y-COORDINATE.
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).
Slope-Intercept Form of a Linear Equation. Is this a linear equation? 3x + 2y = 6.
The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.
Warm-Up Determine the coordinates of each point in the graph below. y
Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue,
Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?
November 19, 2012 Graphing Linear Equations using a table and x- and y-intercepts Warm-up: For #1-3, use the relation, {(3, 2), (-2, 4), (4, 1), (-1, 2),
Warm-Up 1) Determine whether the point (0,3) is a solution to y = 5x minutes 2) Graph y = -2x + 1.
Graphing Linear Equations In Standard Form Ax + By = C.
Graphing Linear Equations In Standard Form Ax + By = C.
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.
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)
Algebra 4.3 Quick Graphs Using Intercepts I will find the intercepts of the graph of a linear function. I will use intercepts to make a graph of a linear.
Unit 3. Day 10 Practice Graph Using Intercepts.  Find the x-intercept and the y-intercept of the graph of the equation. x + 3y = 15 Question 1:
Standard Form Equation of a Line Name Feb 29, 2011 Are these equations of the SAME LINE? y = x + 2 x – y = -2.
7.3 Linear Equations and Their Graphs Objective: To graph linear equations using the x and y intercepts To graph horizontal and vertical lines.
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.
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,
Integrated Mathematics. Objectives The student will be able to:: 1. graph linear equations. 2. write equations in point- slope form.
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!
Chapter 4 – Graphing Linear Equations and Functions Algebra I A - Meeting 23 Example # 1 Step 1 : Make a Input-Output Table: Step 2 : List & Plot the Ordered.
F-IF.C.7a: Graphing a Line using Slope-Intercept, Part 2
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.
Objectives: To graph lines using the slope-intercept equation
Presentation transcript:

Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue, Cost, and Profit Today’s Topics: Identify Linear Functions Intercepts/Slopes Graph Linear Functions Rate of Change Identity and Constant Functions Apply Linear Revenue, Cost, and Profit

Intercepts are points that cross the x-axis and the y-axis. To Find the y-intercept: Let x = 0 and solve for y To Find the x-intercept: Let y = 0 and solve for x Example: Find the x-intercept and y-intercept of the graph 4x-12y =22

Find the slope of each: A.(-3, 2) and (5, -4) B.(8, -3) and (7, -4)

Match each equation with the possible slope: A.y = 2x + 3 B.y = 5 C.x = 2 D.y = - 2x + 5 Match each equation with the possible slope: A.y = 2x + 3 B.y = 5 C.x = 2 D.y = - 2x + 5

Constant FunctionIdentity Function y = b, where b is a real number y = x

Apple manufactures a 16GB Wi-Fi-only iPad 3 and sells them for $499. The cost incurred in the production and sale of the iPad are $500,000 * plus $316 ** for each iPad produced and sold. Write the profit function for the production and sale of x iPads. *Yeah….I made this up. ** According to

Pg #1-21 odd #35-38 all #42-43