Graphing Using X- and Y-Intercepts By: Michelle Van Ornum.

Slides:



Advertisements
Similar presentations
From yesterday in case you didn’t get it
Advertisements

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
Graphs & Models (P1) September 5th, I. The Graph of an Equation Ex. 1: Sketch the graph of y = (x - 1)
Sullivan Algebra and Trigonometry: Section 2.2 Graphs of Equations Objectives Graph Equations by Plotting Points Find Intercepts from a Graph Find Intercepts.
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
Warm Up: Slope Intercept Form from a Table.
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.
X and Y Intercepts. Definitions Intercept – the point where something intersects or touches.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 1.2 Graphs of Equations In Two Variables; Intercepts; Symmetry.
Graphing Linear Equations in Slope-Intercept Form.
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.
Objective - To use x-intercepts and y-intercepts to graph a line. Make a table of values to graph y = 2x - 6. xy = 2x (-3) - 6= (-2) - 6=
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
Objective - To graph horizontal, vertical, and oblique lines using tables of values and intercepts. Linear Equations? xy = 2x (-2) + 1= -3 2(-1)
Find the x-intercept To find the y-intercept, we must use 0 for x. Substitute x = 0 into 2x + 3y = 6 and solve for y: 2x + 3y = 6 2(0) + 3y = y.
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
2.2: Do Now: Determine if the following point is on the graph. 1.) 2.)
Graph the following Y = 4 X = 3 Y = -5x + 2 6x + 3y = 9.
Lesson 6-3 (Part 1) Standard Form page 298
Intercepts y-intercept: where the graph crosses the y-axis. Algebraically – set x=0 x-intercept: where the graph crosses the x-axis. Algebraically – Set.
Graphing Equations of Lines Using x- and y-Intercepts.
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:
S ECTION Graphs of Equations. T HE F UNDAMENTAL G RAPHING P RINCIPLE The graph of an equation is the set of points which satisfy the equation. That.
WRITING LINEAR EQUATIONS FINDING THE X-INTERCEPT AND Y- INTERCEPT.
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.
Graphing Test Review Algebra. Express the relation as a set of ordered pairs and the inverse. xy
3.1 Symmetry; Graphing Key Equations. Symmetry A graph is said to be symmetric with respect to the x-axis if for every point (x,y) on the graph, the point.
Today’s Goal By the end of the period you will be able to: find the x- and y-intercepts of linear equations.
Objective: I can analyze the graph of a linear function to find solutions and intercepts.
X AND Y INTERCEPTS. INTERCEPT  In a function, an intercept is the point at which the graph of the line crosses an axis.  If it crosses the y-axis it.
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.
Section 1.2 Graphs of Equations in Two Variables.
Determine if the following point is on the graph of the equation. 2x – y = 6; (2, 3) Step 1: Plug the given points into the given equation. 2(2) – (3)
Test an Equation for Symmetry Graph Key Equations Section 1.2.
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.
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.
DOMAIN, RANGE, AND INTERCEPTS NOTES: 9/8. DOMAIN The set of all input values of a function.  x RANGE The set of all output values of a function.  f(x)
Section 1.2 Graphs of Equations In Two Variables; Intercepts; Symmetry.
Chapter 3 Section 1 Copyright © 2011 Pearson Education, Inc.
Warm-Up Determine the coordinates of each point in the graph below. y
Graphing Quadratic Equations a step-by-step guide with practice.
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)
INTERCEPTS & SYMMETRY 2/22/2016 3:06:57 AM 2-2: Graphs of Equations 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.
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.
Equations in two variables can be represented by a graph. Each ordered pair (x,y) that makes the equation true is a point on the graph. Graph equation.
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.
Graphs of Equations Objectives:  Be able to find solutions, intercepts and the symmetry of a graph by hand and by using the calculator. TS: Analyzing.
P.1 Graphs and Models Main Ideas Sketch the graph of an equation. find the intercepts of a graph. Test a graph for symmetry with respect to an axis and.
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!
4-1 Part 2 Putting Equations in Slope-Intercept Form Notes #_____ ____/____/____.
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.
7-3 Linear Equations and Graphs 9P2: Translate between tables, graphs and functions.
Write the equation for the following slope and y-intercept:
Presentation transcript:

Graphing Using X- and Y-Intercepts By: Michelle Van Ornum

Finding the X- and Y-Intercepts To find the x- and y-intercepts, you need to know what to look for… X-intercept is where the graph touches the x-axis Y-intercept is where the graph touches the y-axis (Hutchinson, 2013)

Finding Intercepts Using a Table If the equation is in standard form, it may be useful to find the x- and y-intercepts using a table. X-intercept is when y = 0 because it is on the x-axis Y-intercept is when x = 0 because it is on the y-axis xy 03 40

Application to Real World X- and Y-Intercepts can be used to find the origin of information and the ending result of testing In this graph, it shows the decline of population in a small city from 1950 until today. The Y-intercept shows that the population in 1950 was 2350 people. The X-intercept shows that the population reaches close to 0 currently.