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.

Slides:

Advertisements

Similar presentations

Gold Day – 2/18/2015 Blue Day – 2/19/2015

Advertisements

ALGEBRA 1 CC Find Slope and x- and y-intercepts. Vocabulary The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal.

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.

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.

4.5 Graphing Linear Equations

Linear Equations Ax + By = C.

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.

Finding the Intercepts of a Line

Chapter Using Intercepts.

X and Y Intercepts. Definitions Intercept – the point where something intersects or touches.

Graphs of Equations Finding intercepts of a graph Graphically and Algebraically.

2.2 Graphs of Equations in Two Variables Chapter 2 Section 2: Graphs of Equations in Two Variables In this section, we will… Determine if a given ordered.

Objectives Determine whether a function is linear.

If b2 = a, then b is a square root of a.

Graphing Linear Equations Section 1.2. Lehmann, Intermediate Algebra, 3ed Section 1.2 Consider the equation. Let’s find y when So, when, which cab be.

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.

Do Now 10/26/09 Take out HW from Friday. Take out HW from Friday. –Text p. 219, #6 & 8, even, 38 Copy HW in your planner. Copy HW in your planner.

Section 8.3 Absolute Value Functions. 8.3 Lecture Guide: Absolute Value Functions Objective 1: Sketch the graph of an absolute value function.

Graphing Using x & y Intercepts

Section 2.3 Graphs of Linear Equations in Two Variables.

Slide 1 © 2004 By Default! A Free sample background from Graphing Linear Equations Objective: Students will determine whether.

Quadrant II (x 0) Quadrant I (x > 0, y>0) ( -5, 3) x-axis Origin ( 0,0 ) Quadrant IV (x>0, y

Today we will explore the Essential Question, “What is the method for graphing a linear equation in standard form form using the slope. the y-intercept.

Graph the following Y = 4 X = 3 Y = -5x + 2 6x + 3y = 9.

Lesson 6-3 (Part 1) Standard Form page 298

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.2 Linear Functions and Their Graphs.

Graphing Linear Equations Section 1.2. Lehmann, Intermediate Algebra, 3ed Section 1.2 Consider the equation. Let’s find y when So, when, which can be.

Unit 5, Lesson 9.  The standard form of a linear equation is:

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.

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.

Do Now 5/26/10 2x + 3y = 12. Take out HW from last night.

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.

WRITING LINEAR EQUATIONS FINDING THE X-INTERCEPT AND Y- INTERCEPT.

5-5 STANDARD FORM. Today, we will use to graph a line. The is the x-coordinate of a point where a graph crosses the x-axis. The y-intercept occurs when.

Today in Algebra 2 Go over homework Notes Study Guide Homework

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.

Objective: I can analyze the graph of a linear function to find solutions and intercepts.

Section 8.3 Using Intercepts to Graph Linear Equations.

1.2 Slopes and Intercepts Objectives: Graph a linear equation. Write a linear equation for a given line in the coordinate plane. Standards: K Apply.

Section 8.2 Points, Lines and Their Graphs. Vocabulary Graph/Plot – an ordered pair or a point in a numbered plane Horizontal Axis – x-axis Vertical Axis.

MTH 091 Section 13.3 Graphing with x- and y-intercepts Section 13.4 Slope.

(409)539-MATH THE MATH ACADEMY (409)539-MATH.

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.

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.

Writing Linear Equations (Slope- Intercept Form).

Section 1.2 Graphs of Equations In Two Variables; Intercepts; Symmetry.

Warm-Up Determine the coordinates of each point in the graph below. y

Holt Algebra Using Intercepts Warm Up 1. 5x + 0 = –10 Solve each equation. – – = 0 + 3y x + 14 = –3x –5y – 1 = 7y + 5.

Warm-Up 1) Determine whether the point (0,3) is a solution to y = 5x minutes 2) Graph y = -2x + 1.

QUADTRATIC RELATIONS X and Y Intercepts. (0, y)(x, 0)

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.

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.

Section 3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method.

Graphing Linear Equations Chapter 7.2. Graphing an equation using 3 points 1. Make a table for x and y to find 3 ordered pairs. 2. I choose 3 integers.

Do Now Graph the following line: y = 2x - 5. OBJ: Students will be able to graph equations of horizontal and vertical lines, graph linear equations in.

Warm Up If f(x)= 3x 2 + 2x, find f(3) and f(-2). Check Yourself! If g(x)= 4x 2 – 8x + 2 find g(-3)

3-3E Linear Functions Graphing using Intercepts Algebra 1 Glencoe McGraw-HillLinda Stamper.

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.

Presentation transcript:

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 want to isolate that variable on one side of the equation with all other variables on the other side of the equation. This process involves the same steps used to solve a linear equation in one variable. If there is more than one variable in the equation, it is helpful to think of all variables as constants except the variable you are solving for.

Objective: Rewrite a linear equation in the form Solve each equation below for y, and write it in the form. 1. and calculate the x- and y-intercepts of the graph of a linear equation.

2. Solve each equation below for y, and write it in the form.

3. Solve each equation below for y, and write it in the form.

4. Solve each equation below for y, and write it in the form.

5. Solve each equation below for y, and write it in the form.

6. Solve each equation below for y, and write it in the form.

Algebraically Finding the x- and y-intercepts In Section 2.2, we introduced x- and y-intercepts. Recall that the x-intercept is the point on the graph of a line where that line crosses the x-axis. This is the point with a y-coordinate of ______. The y-intercept is the point on the graph of a line where that line crosses the y-axis. This is the point with an x-coordinate of ______. So if we have a linear equation in two variables, we can algebraically find the x-intercept by substituting ______ for the y variable and solving for x. Similarly, we can algebraically find the y-intercept by substituting ______ for the x variable and solving for y.

Algebraically find the x- and y-intercepts for the graphs of the following equations. To check your work use a graphing calculator to create a graph and a table for each equation. 7. x-intercept: y-intercept:

8. x-intercept: y-intercept: Algebraically find the x- and y-intercepts for the graphs of the following equations. To check your work use a graphing calculator to create a graph and a table for each equation.

9. x-intercept: y-intercept: Algebraically find the x- and y-intercepts for the graphs of the following equations. To check your work use a graphing calculator to create a graph and a table for each equation.

10. A young entrepreneur operating a gum ball machine has a fixed monthly overhead cost of $5. He makes a profit of $0.20 on each gum ball sold. (a) Write an equation that gives the monthly profit for this business when x gum balls are sold in a month. (b) Using the equation from part (a), determine the x- intercept of the graph of this equation and interpret this point.

10. A young entrepreneur operating a gum ball machine has a fixed monthly overhead cost of $5. He makes a profit of $0.20 on each gum ball sold. (c) Using the equation from part (a), determine the y- intercept of the graph of this equation and interpret this point.

Objective: Solve an equation for a specified variable. Solve each equation for the specified variable. 11.for b

Solve each equation for the specified variable. 12.for

Solve each equation for the specified variable. 13. for

Solve each equation for the specified variable. 14. for

Solve each equation for the specified variable. 15. for

Solve each equation for the specified variable. 16. for