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

Slides:



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

Linear Equations Review. Find the slope and y intercept: y + x = -1.
GONE FISHIN’ with LINEAR EQUATIONS! PLAY!.
Lesson 5.1 Write Equations in Slope-Intercept Form.
Practice converting linear equations into Slope- Intercept Form It’s easier than you think…
4.7 Graphing Lines Using Slope Intercept Form
Slope Intercept Form. Slope Intercept Form of an equation gives you a quick way to graph an equation.
Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.
Writing linear equations in Slope-Intercept Form It’s easier than you think…
WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.
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.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.
11.6 The 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.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
WRITING EQUATIONS IN SLOPE-INTERCEPT FORM Standard Form Review.
The slope-intercept form of a linear equation of a non-vertical line is given by: Slope-Intercept Form of a Linear Equation.
Writing Linear Equation using slope-intercept form.
Lesson 6-3 Standard Form of a Linear Equation
Practice converting linear equations into Slope-Intercept Form
Write an equation given two points
Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.
WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.
2-4: Writing Linear Equations Using Slope Intercept Form.
Writing the Equation of a Line
Slope-Intercept Form of a Line
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.
5-3 Slope Intercept Form A y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. *Use can use the slope and y-intercept.
Day 10 Geometry. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)
Do Now 1. Solve the equation 2. Find the x-intercept and the y-intercept of the equation +4x 2 + 5x = x = x = -2 5x + (0) = 25 5x = 25 x.
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:
Write and Graph Linear Equation in Slope- Intercept Form I Can: 1)Write equations in slope-intercept form. 2) Graph equations that are written in slope-
Objective Write equations in slope-intercept form. Identify slope and y-intercept from an equation. 3.2 Slope-Intercept Form of a Linear 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.
Practice converting linear equations into Slope-Intercept Form
Is it a linear function? no.
SWBAT… Write lines in slope-intercept form Wed, 2/20/10
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 +
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).
Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.
Equations of Lines (rearranging the furniture). There are three different forms of the equation of a line. Two are for “show”: slope-intercept equation.
Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.
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.
Lesson 5 MI/Vocab slope-intercept form y-intercept Graph linear equations using the slope and y-intercept.
4.3 – Writing Equations in Point Slope Form. Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.
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.
Objective- To graph and manipulate equations in standard form. Standard FormSlope-Intercept Form Ax + By = C y = mx + b 3x + 2y = 8 - 3x 2y = - 3x + 8.
5.3 Standard Form of a Line Finding an Equation Given Two Points Write the equation of the line which contains: (-2, 3) (4, 5) Slope (m)=
Warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x y = 4 – 2x 4.y = 1/3x y = -2/3x.
SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is.
2.6 Finding equations of lines. Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )
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 –
Monday, 1/12 Warm-up It snowed 6 inches already and it is expected to snow another 2 inches every hour. 1.Write an equation representing the total snowfall.
SLOPE 8.2.spi11 Finding the slope of a line: The slope of a hill means how steeply it goes up or down. Lines and curves also have a slope. To find slope:
2.3 Notes Linear Functions: Slope, Graphs, and Models.
Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.
Practice converting linear equations into Slope-Intercept Form
Practice converting linear equations into Slope-Intercept Form
Practice converting linear equations into Slope-Intercept Form
Practice converting linear equations into Slope-Intercept Form
Warm Up -2(x - 1) -3(x + 5) 4(x - 2)
5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0
Presentation transcript:

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

Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation

Convert Into Slope-Intercept Form

When an equation is in slope-intercept form: What is the slope? ____________ Now look at the equation below…… What is the intercept? ____________

Now look at the graph of the line.

*** Easy *** 5y = 10x + 15 Convert to Slope-Intercept Form:

*** Check Your Answer *** -3y = -9x - 12

*** medium *** 21x – 7y =14 Convert to Slope-Intercept Form:

2y + 26 = -6x *** Check Your Answer ***

Try These… 1)3x + y = 94) 3y – 4x = 9 2)4x + 2y = 145) -4x – 5y = 7 3)5y – 10x = 156) 2x = y