Graphing Linear Equations

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.

Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.

Slope-Intercept and Standard Form

Warm Up… Solve each equation for y.

Linear Equations Unit.  Lines contain an infinite number of points.  These points are solutions to the equations that represent the lines.  To find.

The equation of a line - Equation of a line - Slope - Y intercept

Slope Intercept Form.

Graphing Linear Equations In Slope-Intercept Form.

Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.

EXAMPLE 3 Write an equation of a line given two points

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

X and Y Intercepts.

Analyzing Data using Line Graphs Slope & Equation of a Line.

WRITE LINEAR EQUATIONS IN SLOPE- INTERCEPT FORM December 2, 2013 Pages

MAT 150 Module 2 – Linear Functions Lesson 2 – Graphing Linear Functions.

Point-Slope Form Linear Equations in Two Variables.

1.2 Slopes and Intercepts equation for a given line in the coordinate

Graphing Linear Equations

Ex 2: Graph the line with slope 5/2 that passes through (-1, -3)

Writing Linear Equations

Using Slopes and Intercepts

Graphing Lines Using Slope-Intercept Form

13.4 Graphing Lines in Slope-Intercept Form

Slope-Intercept and Standard Form of a Linear Equation.

Unit 2 Day 3: Graphing Using Slope-Intercept Form

Today we will graph linear equations in slope intercept form.

Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 2 –4

Writing Linear Equations in Slope-Intercept Form

Slope Intercept Form.

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope.

Writing Equations from graphs and graphing equations

Graphing Linear Equations

STANDARD FORM OF A LINEAR EQUATION

Write an Equation in Slope-Intercept Form

Graphing Linear Equations

Linear Equations in two variables

Objectives Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.

Writing Linear Equations When Given a Point and the Slope

Warm up 20 Find the slope: 1.) (4,0) (5,7) 2.) (-3,3) (-3, -2)

Identifying Graphs of Linear Equations

Graphing Linear Equations by the slope-intercept method

2.4 Linear Functions: Graphs and Slope

Slope Intercept Form.

Graphing Linear Equations

Objective The student will be able to:

Writing Equations in Slope-Intercept Form

Lesson 8-3 Using Slopes and Intercepts part 2

Quick Graphs of Linear Equations

SLOPE AND GRAPHING LINEAR EQUATIONS (B6, B7, B8)

Writing Linear Equations Given Two Points

Lesson 5.1 – 5.2 Write Linear Equations in Slope-Intercept Form

Equations from Graphs LF.2.AC.7: Write an equation given

Lesson 4.4 Objective: To graph a line on a coordinate plane only using the slope and the y-intercept. Essential Question: How can I graph an equation without.

Graphing Linear Equations

2-4: Writing Linear Equations Using Slope Intercept Form

You have seen that you can graph a line if you know two points on the line. Another way is to use the point that contains the y-intercept and the slope.

Functions in the Coordinate Plane

Objective graph linear equations using slope-intercept form.

Graphing with X- and Y-Intercepts

Graphing Functions x f(x) = 2x (2) + 7 = (3) + 7 = 13 4

Graphing Linear Equations

Linear Equations in Two Variables

Graphing Linear Equations

11.2 Slope: y-intercept: 5.

5-3 slope-intercept form

Warm-up # 4 5 −3= Write the slope-intercept form for the equation of the line through (0, 2) that has a slope of 3 4 Write the slope-intercept form for.

Objectives: To graph lines using the slope-intercept equation

Ch 4.2 & 4.3 Slope-Intercept Method

Presentation transcript:

Graphing Linear Equations Essential Question: How do you graph linear equations using point plotting, intercepts, the slope- intercept form, and the graphing calculator?

Graphing Linear Equations Using Point Plotting

In order to graph using point plotting, you will need to create a table. You will need to choose at least 3 numbers for x and “plug” them into the equation to find corresponding y values. Plot the points For Example: Graph y = 2x - 1 x y Choose x values -1 2(-1)-1=-3 2(0)-1 = -1 1 2(1)-1 = 1 “plug” x into the equation

Graph using point plotting x y (-2) + 3 = 2 -2 2 (0) + 3 = 3 (2) + 3 = 4

Graphing Using Intercepts

To graph using intercepts, you will need to find both the X and the y intercept To find the x-intercept, substitute “0” for y and solve for x To find the y – intercept, substitute “0” for x and solve for y For example: y = 4x + 8 X-intercept: 0 = 4x + 8 -8 = 4x -2 = x Y – Intercept: Y = 4(0) + 8 Y = 8

Graph 2x + 3y = 6 using intercepts. X-intercept: 2x + 3(0) = 6 2x = 6 X = 3 Y-intercept: 2(0) + 3y = 6 3y = 6 Y = 2

Graphing Using the Slope-Intercept Form

To graph a linear equation, you will need to find the slope and the y-intercept for the equation. Remember: y = mx + b slope Y-intercept (the point where the graph crosses the y-axis)

Slope = Y-intercept = Graph 1. Plot the y-intercept Use the slope to find the next point Slope = “rise over run”

Graph 2x + 5y = 10 using the slope-intercept form: (put the equation in slope-intercept form first) 2x + 5y = 10 5y = 10 – 2x y = 2 – 2/5 x slope = -2/5 y – intercept = 2 A negative slope means you will go down then right from the y-intercept

Graphing Using the Graphing Calculator

Use the link below to access an online graphing calculator: http://www.coolmath.com/graphit/index.html When using the calculator, you will first need to have the equation in slope-intercept form (y = mx + b) Then simply key in the equation and hit EVAL to see the graph Graph on the graphing calculator

Graph 3x – 5y = 9 on the graphing calculator. (First you will need to solve for y). 3x – 5y = 9 -5y = 9 – 3x Put the above equation into the graphing calculator and click EVAL