Interpreting Slope and y-intercept ~adapted from walch education.

Slides:

Advertisements

Similar presentations

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

Advertisements

Proving Average Rate of Change

WARM UP  Using the following table and y = mx + b;  1) What is the y?  2) What is the b? xy

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

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Introduction When linear functions are used to model real-world relationships, the slope and y-intercept of the linear function can be interpreted in context.

5-7: Scatter Plots & Lines of Best Fit. What is a scatter plot?  A graph in which two sets of data are plotted as ordered pairs  When looking at the.

~adapted from Walch Education CONSTRUCTING FUNCTIONS FROM GRAPHS AND TABLES.

Solving Linear Inequalities in Two Variables Adapted from Walch Education.

Graphing the Set of All Solutions ~adapted from walch education.

Fitting a Function to Data Adapted from Walch Education.

Calculating and Interpreting the Correlation Coefficient ~adapted from walch education.

~adapted from Walch Education A scatter plot that can be estimated with a linear function will look approximately like a line. A line through two points.

Introduction When linear functions are used to model real-world relationships, the slope and y-intercept of the linear function can be interpreted in context.

Section 4.2: Least-Squares Regression Goal: Fit a straight line to a set of points as a way to describe the relationship between the X and Y variables.

Building Functions from Context ~adapted from Walch Education.

Correlation and Regression. Section 9.1  Correlation is a relationship between 2 variables.  Data is often represented by ordered pairs (x, y) and.

Slope Intercept Form Graph an equation using the slope and the y intercept and write an equation of a line.

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.

COMPARING LINEAR TO EXPONENTIAL FUNCTIONS ~adapted from Walch Education.

Common Core Standards Covered in this lesson: HSA-CED.A.2 --Create equations in two or more variables to represent relationships between quantities 8.F.A.3.

3.5 Graphing Linear Equations in Slope-Intercept Form

Writing Linear Equations

Using Slopes and Intercepts

Graphing Lines Using Slope-Intercept Form

Slope-Intercept and Standard Form of a Linear Equation.

Today we will graph linear equations in slope intercept form.

Writing Linear Equations in Slope-Intercept Form

y – y1 = m (x – x1) Point-Slope Form

Data Analysis Interpret Slope and y- Intercept

STANDARD FORM OF A LINEAR EQUATION

Equations of Lines.

The Least-Squares Regression Line

Write an Equation in Slope-Intercept Form

Graphing Linear Equations in Slope-Intercept Form Notes 3.5

Linear Functions.

Lesson 8: Graphing Multi-Variable Equations

Objective- To use slope and y-intercept to

Writing Linear Equations When Given a Point and the Slope

Identifying Graphs of Linear Equations

Correlation and Regression

Graphing Linear Equations

Solving Systems of Linear Equations

3-4 Equations of Lines Name the slope and y-intercept of each equation. 1. y = ½ x + 4 m = ½ b = 4 2. y = 2 m = 0, b = 2 (horizontal line) 3. x = 5.

8th Grade Math Presented by Mr. Laws

y=mx + b 4.3 Linear Equations Slope-Intercept Form y = 2x - 5

The Slope-Intercept Form of a Linear Equation

Unit 4. Day 5..

-3 -3x -3x Objective- To identify the slope and y-intercept

Quick Graphs of Linear Equations

Interpreting Parameters

Write the equation for the following slope and y-intercept:

Linear Equation Jeopardy

Graphing Linear Equations

How to Write Linear Equations

Graphing with X- and Y-Intercepts

Distance – Time Graphs Time is usually the independent variable (plotted on the x-axis) Distance is usually the dependent variable (plotted on the y-axis)

Math Vocabulary Mrs Knight 7th Grade.

5-3 slope-intercept form

Warm-up # 4 5 −3= Write the slope-intercept form for the equation of the line through (0, 2) that has a slope of 3 4 Write the slope-intercept form for.

5 Minute Check 1-4 Graph the equation : 2x + y – 4 = 0

5.1 -Systems of Linear Equations

6-2 Slope-Intercept Form

Starter challenge.

Objectives: To graph lines using the slope-intercept equation

Linear Equations Chapter 2/unit

Graphing Data Section 1-3.

Presentation transcript:

Interpreting Slope and y-intercept ~adapted from walch education

What you should know…  A linear fit is the approximation of data using a linear function. The slope of a line with the equation y = mx + b is m. The slope of a line is or ; the slope between two points (x 1, y 1 ) and (x 2, y 2 ) is. In context, the slope describes how much the dependent variable changes each time the independent variable changes by 1 unit.

Also… The y-intercept of a line with the equation y = mx + b is b. The y-intercept is the value of y at which a graph crosses the y-axis. In context, the y-intercept is the initial value of the quantity represented by the y-axis, or the quantity of y when the quantity represented by the x-axis equals 0.

Practice The graph on the next slide contains a linear model that approximates the relationship between the size of a home and how much it costs. The x-axis represents size in square feet, and the y-axis represents cost in dollars. Describe what the slope and the y-intercept of the linear model mean in terms of housing prices.

Home Size and Cost

Steps:  Find the equation of the linear fit. The graph contains the points (300, 60,000) and (600, 120,000). o Finding the slope, m. The slope between the two points (300, 60,000) and (600, 120,000) is 200.

Next Step:  Find the y-intercept. Use the equation for slope- intercept form, y = mx + b, where b is the y- intercept.  The y-intercept of the linear model is 0.

The equation of the line is y = 200 x Describe what the slope and y-intercept means in context:  The slope is the change in cost of the home for each square foot of the home. The slope describes how price is affected by the size of the home purchased. A positive slope means the quantity represented by the y- axis increases when the quantity represented by the x- axis also increases.  The cost of the home increases by $200 for each square foot.  The y-intercept is the value of the equation when x = 0, or when the size of the home is 0 square feet.  For a home with no area, or for no home, the cost is $0.

Thanks for Watching!!!!!! ~Ms. Dambreville