Graphing Linear Equations Including Horizontal and Vertical Lines Presley Lozano, Chloe Husain, and Savannah Nguyen.

Slides:

Advertisements

Similar presentations

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

Advertisements

Objective: Use slope-intercept form and standard form to graph equations. 2.4 Quick Graphs of Linear Equations.

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

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,

From yesterday in case you didn’t get it

Slope Intercept Form.

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.

3.5 Lines in the Coordinate Plane

Linear Equations Ax + By = C.

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

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.

Relations, Functions, and Graphing

Gold Day – 2/24/2015 Blue Day – 2/25/2015.  Unit 5 – Linear functions and Applications  Review – slope, slope intercept form  Standard Form  Finding.

Equations of lines.

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

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.

Graphing Using x & y Intercepts

Algebra II w/ trig.  Coordinate Plane  Ordered pair: (x, y)  Relation: a set of ordered pairs(mapping, ordered pairs, table, or graphing)  Domain:

Graphing Linear Equations

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.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.

What is the slope of a line parallel to the line seen below? m= -1/3

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

Graphing Linear Equations. Linear Equation An equation for which the graph is a line.

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

Graphing Equations of Lines Using x- and y-Intercepts.

Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:

Graphing Linear Functions 1. graph linear functions. 2. write equations in standard form.

What are the characteristics of Lines in the Plane? Section P4 (new text)

PARALLEL LINES Linear Equations. I can find the equation of a line parallel to a given line passing through a given point. Essential Question: Do you.

X and Y Intercepts.

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)

Write an equation of a line by using the slope and a point on the line.

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.

Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.

2.2 Linear Equations Graph linear equations, identify slope of a linear equation, write linear equations.

Activity 1.6 Depreciation. In your groups… Read page 51 Complete exercises 1 and 2 in your groups Don’t forget –Average rate of change is –UNITS!!!!!!!!!!!!!!!!!!!!!!!!!

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.

Graphs & Models (Precalculus Review 1) September 8th, 2015.

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)

Graphing Linear Equations

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

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.

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.

Questions on 1.2 HW?. Warm-Up  Write a rule for the function X0123 Y3579 X Y7654.

7.3 Linear Equations and Their Graphs Objective: To graph linear equations using the x and y intercepts To graph horizontal and vertical lines.

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.

Graphing Points & Lines Sections covered: 1.8 The Coordinate Plane 3.6 Lines in the Coordinate Plane.

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.

Twenty Questions Rational Functions Twenty Questions

Mathematics Vocabulary – Grade 8 ©Partners for Learning, Inc. Slope-intercept form An equation of the form y = mx + b, where m is the slope and b is the.

Lines in the Coordinate Plane

Graphing Graph of a Linear Equation x and y Intercepts Slope of a Line

What is the x-intercept?

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:

Graphing Linear Equations Including Horizontal and Vertical Lines Presley Lozano, Chloe Husain, and Savannah Nguyen

Vocabulary Domain: the set of values of the independent variables Range: the set of y values of a function or relation Constant function: the function is the form of y=x (f) or the constant The x and y plane is formed by the x-axis and the y-axis Horizontal line: the line is perfectly flat and level there is no slope Vertical line: like that is straight up and down

How to Find the X an Y Intercepts X and Y Intercepts: The x-intercept is where the graph crosses the x- axis, and the y-intercept is where the graph crosses the y-axis The x-intercept: is a point is a point on the graph where the y is zero and the y-intercept is the pint on the graph where the x is zero Ways to solving: Plug in the zero for the one you aren't solving for, in other words when you're solving for x you plug in zero for y. Vise versa when you are solving for y you plug in zero for x.

How to Graph Horizontal Lines A line that is parallel to the x-axis is going to be your horizontal line. When graphing horizontal line, you will be given the y-value such as something like y=4. This means the coordinating points that have 4 as the y will be on the horizontal line. Example: (5,4) (10,4) and(-24,4) will all be on this horizontal line.

Horizontal Line

How to Graph Vertical Lines Next is how to graph a vertical line, which is a line that is parallel to the Y axis. You will be giving a value for x when finding a vertical line. You might be given at x=0 which means only point with the x value of zero will be on this line. Example: (0,3) (0,6) and (0,10) will all be on this vertical line.

Vertical Line

THE HAPPILY EVER AFTER