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.

Slides:

Advertisements

Similar presentations

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

Advertisements

Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.

Linear Equations Review. Find the slope and y intercept: y + x = -1.

Jeopardy Graphing Equations Writing Equations Linear or Not? Perpendicular And Parallel Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.

Practice converting linear equations into Slope- Intercept Form It’s easier than you think…

Slope-intercept Form y = mx + b. In order to identify the slope and y-intercept, you have to make sure that the problem is in slope- intercept form. This.

Linear Equations Ax + By = C.

Writing linear equations in Slope-Intercept Form It’s easier than you think…

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

Slope-Intercept  y=mx+b  b=y-intercept  m=slope Point Slope  y- y ₁ =m(x-x ₁ )

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.

The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.

Directions: Solve the linear systems of equations by graphing. Use the graph paper from the table. Tell whether you think the problems have one solution,

Warm ups What is the slope of the line that passes through (–4, 8) and (5, 2)? Suppose y varies directly as x and y = –5 when x = 10. Which is a direct.

Writing Linear Equation using slope-intercept form.

Aim: Converting linear equations into Slope- Intercept Form Do Now: 1) Define Slope 2) Define y-intercept It’s easier than you think…

Lesson 6-3 Standard Form of a Linear Equation

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

2-4: Writing Linear Equations Using Slope Intercept Form.

Writing the Equation of a Line

Slope-Intercept Form of a Line

Graph using Slope-Intercept Form A linear equation in the form y=mx+b is written in slope-intercept form where m is the slope and b is the y-intercept.

Rewriting an equation in

Goal: Write a linear equation..  1. Given the equation of the line 2x – 5y = 15, solve the equation for y and identify the slope of the line.  2. What.

Lecture 161 Unit 2 Lecture 16 Slope Slope. Lecture 162 Objectives Given two points, calculate the slope of the line through those two pointsGiven two.

Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.

Solve the equation -3v = -21 Multiply or Divide? 1.

Lesson 5.6 Point-Slope Form of the Equation of a Line.

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

SWBAT… Write lines in slope-intercept form Mon, 11/28 Agenda 1.WU (10 min) 2.Slope quiz review (5 min) 3.5 Practice problems - slope-intercept form (20.

Slope-Intercept Form. Warm-up: Find the slope of the following: Find the slope of the line passing through: (-1,- 2)(3,4) Slope = 6 4 Find the slope of.

SWBAT… Write lines in slope-intercept form Wed, 2/20/10

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.

2.4 Lines. Slope Find the slope of the line passing through the given points.

Using a Point & Slope to find the Equation. What we are doing today…. We are going to learn how to take a point and a slope and turn it into y = mx +

Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.

7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):

Writing Linear Equations (Slope- Intercept Form).

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 22. SOLUTION The.

Quick Graphs Using Slope-Intercept form 4.6 Objective 1 – Graph a linear equation in slope-intercept form.

When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y- intercept for each equation. 1. y = 3x y = ½.

Warm ups Graph using intercepts: 1. 2x + 3y = 122.4x – 5y = x – y = -44.3x + 4y = -8.

The y-intercept and slope-intercept form/ Writing linear equations from graphs. 1/11/15.

SWBAT… Write lines in slope-intercept form Mon, 11/28 Agenda 1.WU (10 min) 2.Slope quiz review (5 min) 3.5 Practice problems - slope-intercept form (20.

7-3 Writing equations in Slope- Intercept form Objectives: Write a linear equation in Slope-intercept form given the slope and y intercept.

2-3 LINEAR FUNCTIONS AND SLOPE- INTERCEPT FORM. OBJECTIVES To graph linear equations –Linear function- a function whose graph is a line To write linear.

Splash Screen. Concept Example 1 Write and Graph an Equation Write an equation in slope-intercept form of the line with a slope of and a y-intercept.

Pre-Algebra 11-3 Using Slopes and Intercepts Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (-1, 4) 2. (1, 2)

SWBAT… Write lines in slope-intercept form Tues, 1/14 Agenda 1.WU/Review hw#2 (10 min) 2.5 Practice problems - slope-intercept form (20 min) 3.Quiz –

4-1 Part 2 Putting Equations in Slope-Intercept Form Notes #_____ ____/____/____.

Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.

Using Slopes and Intercepts

§ 1.5 Equations of Lines.

5.3 a Slope-Intercept Form

Point-Slope Form of a Linear Equation

Geometry Creating Line Equations Part 1

§ 1.5 Equations of Lines.

SLOPE OF A LINE.

EXIT TICKET: Graphing Linear Equations 11/17/2016

12.3 Using Slopes and Intercepts

Writing Linear Equations Given Two Points

Convert Standard to Slope-Intercept

2.2 Linear Equations.

2.2 Linear Equations.

Substitute either point and the slope into the slope-intercept form.

Standard Form to Slope-Intercept Form.

Slope intercept form is:

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.

Objective: To relate slope to parallel lines.

Presentation transcript:

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

Example 1 4x + 2y = -12 – 4x – 4x subtract 4x from both sides + 2y = -12 – 4x divide both sides by 2 y = -6 – 2x change into y=mx+b form y = -2x – 6

Example 2 8x – 16 = 4y x – 4 = y

Example 3 6 = -y = y

Example 4 x = -4 + y x = y change to y=mx+b form y = x + 4

Example 5 -2x + 3y = 15 +2x + 2x 3y = x y = 5 + 2/3x change to y=mx+b form y = 2/3x + 5

Example 6 4x – 6y = 20 –4x – 4x – 6y = 20 – 4x – 6 – 6 – 6 y = -10/3 + 2/3x change to y=mx+b form y = 2/3x – 10/3

Example 7 4y = -3x y = -3/4x + 10/4 simplifies to y = -3/4x + 5/2

Example 8 3x + 9y = -18 – 3x + 9y = -18 – 3x y = -2 – 3/9x reduces to y = -2 – 1/3x y = -1/3x – 2 <<< in y=mx+b form