Graphing Using Slope-Intercept Form

Slides:

Advertisements

Similar presentations

2.4 Graphing Linear Equation Sept 4, Y-intercept a point where a graph intersects the y-axis Vocabulary equation written in the form Ax + By = C.

Advertisements

GONE FISHIN’ with LINEAR EQUATIONS! PLAY!.

Lesson 5.1 Write Equations in Slope-Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

Find the x and y intercept

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.

Warmups Determine the slope of the line passing through: (2,7) (4,-5)

Chapter 4.7: Graphing a Line using Slope-Intercept, Part 1.

Complete the following problems in your lecture notebook, QUIETLY. 1) Find the slope of the line given (2, 3) and (-3, -2). 2) Write the equation y – 5.

Notes on Slope-Intercept Form

Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

Objectives: Define and explain the components of the slope-intercept form of a linear equation. Use the slope-intercept form of a linear equation. Standards.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope-intercept form. day 1.

Core Focus on Linear Equations

Linear Equations in Two Variables

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

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

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.

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

Writing the Equation of a Line

Slope-Intercept Form of a Line

Sullivan Algebra and Trigonometry: Section 2.3 Objectives Calculate and Interpret the Slope of a Line Graph Lines Given a Point and the Slope Use the Point-Slope.

Calculate the Slope. What is the slope-intercept form of any linear equation?

Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.

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.

Solving Systems by Graphing Lesson Is (4, 1) on the line y = 2x − 5? 2. Is (0, −5) on the line 4x + 2y = 10? 3. Is (−2, 7) on the line y = 3(x.

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-

8.4 The Slope-Intercept Form of a Linear Equation Objective: To use the Slope-Intercept Form of a linear equation. Warm – up: Solve each equation for y.

 1.  2..27v-1.6=.32v-2. Slope-Intercept Form y = mx + b m = slope b = y-intercept Slope-Intercept Form y = mx + b m = slope b = y-intercept.

X and Y Intercepts.

LEARNING TARGETS: 1. TO IDENTIFY SLOPE FROM A TABLE OF VALUES. 2. TO IDENTIFY SLOPE FROM A GRAPH. 3. TO IDENTIFY SLOPE FROM 2 POINTS. 4. TO IDENTIFY SLOPE.

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Warm Up 1. 4x + 2y = x + 2 = 6y Solve each equation for y. y = –2x Find the slope of the line that contains (5, 3) and (–1, 4). 4. Find the.

Chapter 5:Write the equation of a line Given Slope & y-Intercept.

-2 -5 Objective - to use slope-intercept form to write

Big Idea : -Solve systems of linear equations by graphs.

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 +

2.3 Linear Functions and Slope-Intercept Form The slope of a nonvertical line is the ratio of the vertical change to the horizontal change between two.

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.

Lesson 5 MI/Vocab slope-intercept form y-intercept Graph linear equations using the slope and y-intercept.

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.

Slope-Intercept Form x y in weeks The baby was 20 inches long when it was born and is growing at a rate of 1 inch every 4 weeks.

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

Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?

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)=

Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality.

1. 2 Homework Monday, 12/7 Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL.

Slopes of Parallel and Perpendicular Lines. Different Forms of a Linear Equation  Standard Form  Slope-Intercept Form  Point-Slope Form  Standard.

2.6 Finding equations of lines. Review Slope-Intercept Form: y = mx + b Point-Slope Form: y – y 1 = m (x – x 1 )

Holt McDougal Geometry 3-6 Lines in the Coordinate Plane 3-6 Lines in the Coordinate Plane Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Chapter 6 Lesson 2 Slope-Intercept Form. Define: Slope-Intercept Form Define: Slope-Intercept Form The slope-intercept form of a linear equation is y.

Rewriting a linear function in slope-intercept form Copyright 2011 Scott Storla.

College Algebra Chapter 2 Functions and Graphs Section 2.4 Linear Equations in Two Variables and Linear Functions.

Point-Slope Formula I can write an equation given a point and the slope.

Algebra 1 Section 5.6 Write linear equations in standard form Recall: Forms of linear equations Standard Slope-intercept Point-slope Graph 4x – 3y = 6.

Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.

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.

Objective- To use slope and y-intercept to

Lesson 8-3 Using Slopes and Intercepts part 2

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.

Graphing Using Slope-Intercept Form

Presentation transcript:

Graphing Using Slope-Intercept Form Lesson 16 Linear Equations Graphing Using Slope-Intercept Form

Warm-Up Determine the slope and y-intercept for each linear equation. y = 2 + 4x y = x – 5 y = – x + 1 y = 3

Graphing Using Slope-Intercept Form Target: Graph linear equations in slope-intercept form.

Vocabulary Slope-Intercept Form: Linear equation written in the form y = mx + b. Discrete: A graph that can be represented by a unique set of points rather than a continuous line. Continuous: A graph which can be drawn from beginning to end without lifting your pencil.

Slope-Intercept Form of a Linear Equation y = mx + b The slope of the line is represented by m. The y-intercept is b.

Example 1 Graph y = x – 2. Clearly mark at least 3 points on the line. Find the slope and y-intercept. m = b = –2 Graph y-intercept. Use the slope to find two more points. Draw the line.

Slope-Intercept Form of a Linear Equation Steps to graph using the graphing calculator. Press the “Y=“ button Type in the equation using “Alpha, Y=, 1” for fractions, and “X,T,O,n” for the X Press the “graph” button Press “2nd, TRACE, 5” to find the Y-intercept

Example 2 Graph each linear equation. Clearly mark at least three points on each line. y = 6 – 2x y = – x + 1

Exit Problems Graph each linear equation. Clearly mark at least three points on each line. y = x – 1 y = 4 – 3x y = –1

Communication Prompt How can you tell if a line is going to be a vertical line or a horizontal line based on its equation?