5-3 Slope-Intercept Form. Linear Equation: an equation that models a linear function The graph of a linear equation contains all the ordered pairs that.

Slides:

Advertisements

Similar presentations

Writing the Equation of a Line Using Slope-Intercept Form Chapter 5.1.

Advertisements

Lesson 5.1 Write Equations in Slope-Intercept Form.

Writing Linear Functions in Slope-Intercept Form.

 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.

Slope Intercept Form. Slope Intercept Form of an equation gives you a quick way to graph an equation.

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.

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

Lesson 5-2 – Slope Intercept Form Notes – Writing Linear Equation

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.

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.

4.2 Graphing Linear Functions Use tables and equations to graph linear functions.

Graph linear functions EXAMPLE 1 Graph the equation. Compare the graph with the graph of y = x. a.a. y = 2x b.b. y = x + 3 SOLUTION a.a. The graphs of.

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.

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

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

Point-Slope Form of a Linear Equation. Point-Slope Form In most textbooks the graphing form for a linear equation is called Point-Slope Form and is the.

OBJECTIVES: TO WRITE LINEAR EQUATIONS USING SLOPE- INTERCEPT FORM TO GRAPH LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM CHAPTER 6 SLOPE-INTERCEPT FORM.

Writing Linear Equation using slope-intercept form.

EXAMPLE 3 Write an equation of a line given two points

Use slope and y-intercept to write an equation

Write an equation given two points

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

8-3 & 8-4: Graphing Linear Functions Mr. Gallo. Graphing Linear Functions  Linear Function:  The graph of this function is a ____________ _______. 

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

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

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.

Objectives: To write linear equations using slope-intercept form To graph linear equations in slope-intercept form.

Determine whether (2, 4) is a solution for y= 5x-6.

Writing Equations of a Line. Various Forms of an Equation of a Line. Slope-Intercept Form.

2.4 Essential Questions What is the point-slope form?

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-

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.

X and Y Intercepts.

Objective: I can analyze the graph of a linear function to find solutions and intercepts.

6.2: Slope-Intercept Form. Linear Equations  An equation whose graph is a line is a linear equation. Ex. y = 3x – 4  The y-intercept is the y-coordinate.

Big Idea: -Verify that a point lies on a line, given the equation of the line. -Derive linear equations by using the point-slope formula. 5-1(Part 1) Write.

5.1 Slope-Intercept Form OBJECTIVE 1 : Use slope-intercept form to write an equation of a line. Slope-Intercept Form: The slope-intercept form of the equation.

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

WARM UP YOU’RE CERTIFIED! 5.3 Writing Linear Equations Given Two Points Today’s Schedule: Lesson 5.3 Powerpoint Lesson 5.3 Powerpoint.

Slope-Intercept Form. y=mx + b m is the SLOPE m is the SLOPE b is the Y-INTERCEPT (where the line crosses the y-axis) b is the Y-INTERCEPT (where the.

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.

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):

5.3 Slope-Intercept Form I can write linear equations using slope-intercept form and graph linear equations in slope-intercept form.

Writing Linear Equations (Slope- Intercept Form).

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

5)Find the slope of the line passing through the two given points. a)(-3,5) and (-3,1) b)(4, 6) and (1,6)

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Example 2 Graphing Using Slope-Intercept Form 1

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.

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

Linear Functions and Slope

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

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.

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

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.

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)

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.

5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.

 An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept.  The y-intercept is where.

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

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.

Presentation transcript:

5-3 Slope-Intercept Form

Linear Equation: an equation that models a linear function The graph of a linear equation contains all the ordered pairs that are solutions of the equation

y-intercept: the y-coordinate of a point where the graph crosses the y-axis

Slope-Intercept Form Slope y-intercept

Problem 1: Identifying Slope and y-intercept

Problem 2: Writing an Equation in Slope- Intercept Form

Problem 3: Writing an Equation From a Graph

What is the equation of the line shown?

Problem 4: Writing an Equation From Two Points What equation in slope-intercept form represents the line that passes through the points (2,1) and (5,–8)?

What equation in slope-intercept form represents the line that passes through the points (3,–2) and (1,–3)

Problem 5: Graphing a Linear Equation

Problem 6: Modeling a Function Water pressure can be measured in atmospheres (atm). Use the information in the diagram to write an equation that models the pressure y at a depth of x meters. What graph models the pressure?

Identify the Slope y-intercept Substitute the slope and y-intercept into the slope-intercept form Graph on the next slide