Happy 2014 Algebra 2! Sit somewhere new! Think about what/who might distract you and separate yourself. If you have trouble seeing, come to the front.

Slides:



Advertisements
Similar presentations
Warm-up Make a T-Table and graph the equation y = 2x + 2 x y
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,
Slope Intercept Form.
Finding the Intercepts of a Line
Learn to use slopes and intercepts to graph linear equations.
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.
Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.
Graphing Using x & y Intercepts
x y no x y yes.
3.1 Solve Linear Systems by Graphing. Vocabulary System of two linear equations: consists of two equations that can be written in standard or slope intercept.
CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.
Warm Up Graph the lines on the same grid and identify the point where they meet. 1. y=2x-2 2. y=x+1.
Graphing Lines Test Review By Mrs. Anderson. Graph the following using slope and y-intercept Y=2x + 3 Y=3/4x – 7 Y=3/2x + 5 Y=4x.
Warm Up #10 1.) Graph 5x + 7y =35 2.) Graph y= 2x -3.
Bean Investigation Presentation By:Serhiy Smirnov Period:1.
Slope Intercept Form. Y = mx + b m is the slope b is the y-intecept (0, b) Your equation must say “y = “ Example: Y = 3x + 8 m = 3 Y-intercept (0,8) Y.
Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.
Y=mx+b where m is the slope and b is the y-intercept y=mx+b is the slope intercept form for a linear equation Highest power of a linear equation is 1.
Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.
Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.
Plickers!!! Remember your # No writing/tearing/bending
Determine whether (2, 4) is a solution for y= 5x-6.
Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:
2.3 Graphing Linear Equations in Slope-Intercept Form.
Algebra Unit 4 Graphing Systems of Equations Turn to page 27 in packet.
Lesson 2.7 AIM: How to find the slope and equation of a line using two points.
Section 7.1 Solving Linear Systems by Graphing. A System is two linear equations: Ax + By = C Dx + Ey = F A Solution of a system of linear equations in.
7-5 Graphing linear equations Objectives: Graph linear equations by using the x and y intercepts or the slope and y intercept.
EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a.
There are three ways in which we can solve for slope: Slope = RISE RUN 1. Use the formula and count the spaces on a graph. = 2323.
Geometry Bellwork 9/30/ – Write and Graph Equations of Lines Linear equations may be written in different forms. The general form of a linear equation.
What is a system of equations? A system of equations is when you have two or more equations using the same variables. The solution to the system is the.
WRITING EQUATIONS IN SLOPE INTERCEPT FORM 4.2. What you need… ■In order to write an equation in slope intercept form you need to know 2 things: ■ y =
Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.
The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.
SOLVING TWO VARIABLE EQUATIONS Brittney. Methods ◦ Graphing ◦ Slope intercept y=mx+b ◦ Standard form Ax+By=C ◦ Substitution ◦ Solve for one variable then.
Forms of Linear Equations: Point-Slopey-y 1 = m(x-x 1 ) Slope Intercept y= mx+b Standard FormAx+By=C Review: Points are: (x 1,y 1 ) (x 2,y 2 ) m = Slope.
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 5.1 Writing Linear Equations in Slope Intercept Form.
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.
Chapter 5 Notes Writing Linear Equations. 5.1 Writing Linear Equations in Slope – Intercept Form Objective - Use the slope – intercept form to write an.
Point Slope Form Algebra 1 Honors Objective: To be able to graph and write a linear equation in point slope Warm-Up 1. Check homework from.
Slope Intercept Form Algebra
Slope Intercept Form.
STANDARD FORM OF A LINEAR EQUATION
Notes Over 4.7 Solving an Equation Graphically
6-2 Solving Systems By Using Substitution
Writing Linear Equations When Given a Point and the Slope
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
Slope Intercept Form.
3.1 Notes: Solving Systems of Equations
Quick Graphs Using Slope-Intercept Form
7.2 Solving Systems of Equations Algebraically
Graph the equation..
X and Y Intercepts.
2.5 Writing Equations in Slope Intercept Form
Warm-Up Solve the system by graphing..
Write Equations of Lines
Solving for x and y when you have two equations
Review: Graphing an Equation
Solve Systems of Equations by Graphing
Writing Linear Equations in Slope-Intercept Form
5.1 -Systems of Linear Equations
6-1 System of Equations (Graphing)
Objectives: To graph lines using the slope-intercept equation
2.4A Writing Equations of Lines
Warm up 21 1.) Determine the slope and y intercept of the line y=7x ) Determine the slope and the yintercept of the line 7x- 4y=3 3.) Graph y=1/2.
Solving Linear Systems by Graphing
Presentation transcript:

Happy 2014 Algebra 2! Sit somewhere new! Think about what/who might distract you and separate yourself. If you have trouble seeing, come to the front. So on, and so forth… *I might pull you aside if I think you didn’t make the best decision.

Clean out/Divide Binders Divide Semester 1 and 2- making a ‘cover page’ for both using the colored cardstock Keep things that are neat, organized, easy to read, Toss anything that you can’t read or make any sense of Make sure your name is on the binding and/or front of the binder.

Let’s make the rules… Make a list of expectations for students Make a list of expectations for the teacher How should we be held to these Expectations? ---We’ll count off to make groups of 4-5, agree on things within the group, then share out to make class expectations.

Notes- Systems of Equations A System of Equations is when we have two or more equations working together. The solution to a system of equations is the point or points that work for both equations

3 Methods GraphingSubstitutionElimination

Solve Systems of Equations by Graphing x+y=6-3x+y=2 Step 1) Write both equations in slope intercept form (y=mx+b)

Solve Systems of Equations by Graphing y=-x+6y=3x+2 Step 2) Graph both equations Recall: y=mx+b b is the y-intercept m is the slope

Solve Systems of Equations by Graphing y=-x+6y=3x+2 Step 3: See where the lines cross and write your answer as a point

Solve Systems of Equations by Graphing x+y=6-3x+y=2 Step 4) Check Answer by plugging x and y value into both equations (1, 5) x=1, y=5 1+5=6 6=6 x=1, y=5 -3(1)+5=2 -3+5=2 2=2

Possible Results

Problems: y=-2x+7y=3x+2

y=(1/3)x+4y=-2x-3

x+y=-1-x+y=1

x+y=5 2x-y= -2

Problems: 3x-y=1 x+y= 7

Problems: y=3x5x+y=8

x+2y=-123x-2y=4

3x+y=2-2x+y=-3