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 +2 2. y = ½.

Slides:

Advertisements

Similar presentations

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

Advertisements

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

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

Lesson 5.1 Write Equations in Slope-Intercept Form.

4.1 – Graphing Equations in Slope-Intercept Form.

4.7 Graphing Lines Using Slope Intercept Form

Questions from 1.5 HW???.

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.

Slope – Intercept Form What do all the points on the y-axis have in common? What do all the points on the x-axis have in common?

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

Slope – Intercept Form. Objective: Students will investigate graphs to determine what the coefficients and constants represent in the slope-intercept.

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

Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions.

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.

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.

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

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

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.

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.

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?

{ 2.4 Writing Equations of Lines.  Slope-Intercept Form:  Standard Form: Forms of Lines.

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.

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.

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.

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.

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.

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 +

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

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 4 Write an equation of a line from a graph Gym Membership The graph models the total cost of joining a gym. Write an equation of the line. Explain.

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.

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.

Slope-Intercept Form of a Linear Equation. Is this a linear equation? 3x + 2y = 6.

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.

Linear Functions and Slope

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.

5.1 – Writing Linear Equations in Slope- Intercept Form.

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

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

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.

Graphing Lines Using Slope-Intercept Form

Lesson 8-3 Using Slopes and Intercepts part 2

Graphing Linear Equations

8-6 Slope-Intercept Form

2.2: Graphing a linear equation

Graphing using Slope-Intercept Form

Presentation transcript:

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 x – 3 3. y = x –94. y = 6 - x 3 2 ½

Ex.1: What is the equation of the line in slope-intercept form? m = b = -2 Using a Graph

Ex. 2: What is the equation of the line in slope-intercept form? m = b = 3

Graphing linear equations using slope- intercept form (y = mx + b) Step 1: Graph the y-intercept. Step 2: Using the slope, find another point. Step 3: Draw a line through the two points.

Ex. 1 Graph the equation: m = b = 1

Ex. 2 Graph the equation: m = b = -4

Ex. 3 Graph the equation: m = b = 2

Ex. 4 Graph the equation: m = b = 6

Slope Intercept Form: Let’s look at a graph of a linear equation in this form.  What does the slope tell you about a line? How does changing the slope affect your graph?  What is the y- intercept? What does it tell you about the line? How does changing the y – intercept affect you graph?