FINDING THE EQUATION OF A LINE 1.KNOWING A POINT AND THE SLOPE 2.KNOWING TWO POINTS.

Slides:

Advertisements

Similar presentations

MEASURING THE MOVEMENT OF MOLECULES

Advertisements

The Fahrenheit Scale The Fahrenheit scale was invented in the early 1700s by G. Daniel Fahrenheit. The start of the scale is at 0F which is the temperature.

Is what the air is like at a certain time and place.

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

Functions and Mathematical Models. Used to compute the values on a variable [Y] given values on other variables [X 1, X 2...]

Two different ladders both go from the ground to the top of the same building. Ladder #1 has 100 rungs and ladder #2 has 120 rungs. Two people climb up.

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.

Linear functions. Mathematical Function? Relationship between two variables or quantities Represented by a table, graph, or equation Satisfies vertical.

Another example Jamie and Terry have thermometers that have marks on them, but they are not sure about the temperature scales. They both put their thermometers.

Temperature Temperature is a qualitative measurement- movement of molecules How hot or cold something is. Fahrenheit Celsius o F = 9/5C + 32 o C = 5/9.

We will identify linear equations and functions.

TEMPERATURE FAHRENHEIT & CELSIUS. WHAT IS TEMPERATURE? Some people say: it is how hot or cold something is Scientists say: measure of how fast the atoms.

How Low Can You Go??. Temperature Scales Nova Temperature: Quantifying Cold 10:17

Fahrenheit and Celsius Conversion Formulas Fahrenheit to Celsius: Celsius to Fahrenheit:

Temperature. Temperature Scales Temperature can be measured with a variety of scales: – Celsius scale – Fahrenheit scale – Kelvin scale.

Heat and TemperatureSection 1 SPS7.c Determine the heat capacity of a substance using mass, specific heat, and temperature.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) CCSS Then/Now New Vocabulary Example 1:Identify Linear Functions Example 2:Real-World Example:

Fahrenheit, Celsius & Kelvin. Temperature  Is a measure of how hot or cold an object is compared to another object.  Indicates that heat flows from.

Fahrenheit Temperature Beth Clause. This is the scale we use in the United States of America. The scale is divided into 180 intervals called degrees.

Chapter 2 Section 2. State whether is a linear function. Explain. Answer: This is a linear function because it is in the form.

Unit 1 – First-Degree Equations and Inequalities

Chapter 2 Examples Section 2 Linear Functions. Objective: Students will identify patterns with linear forms of equations and functions. They will also.

Algebra 2 Chapter 2.2 Linear Relations & Functions Target Goals: 1.Identify linear relations and functions 2.Determine the intercepts of linear equations/functions.

Lesson 2.7 AIM: How to find the slope and equation of a line using two points.

Reading a Thermometer. Celsius – also known as centigrade is the standard used in the scientific community world wide. It is shown on this thermometer.

Temperature and Slope in Excel NSF Summer Institute 2007 Jeff Rose.

Comparing Temperature Scales Units of Temperature Fahrenheit scale 0 F Celsius scale commonly used by scientists water boils at C 0 K coldest temperature.

Temperature Scales An Investigation Temperature Scales The two main scales used for measuring temperature are the Fahrenheit and the Celsius scales.

Over Lesson 2–1 5-Minute Check 1 Determine whether the relation is a function. If it is a function, determine if it is one-to-one, onto, both, or neither.

Temperature SWBAT apply addition and subtraction of integers to Celsius and Fahrenheit temperature; use formulas to estimate temperatures in degrees Celsius.

Temperature How Hot is it?. Temperature Temperature is a measure of the average kinetic energy of a molecule of a substance, or… How “hot” it is. On Temperature.

12/7/2015Math KM1 Chapter Cartesian Coordinates Linear Functions: Graphs and Slope More on Graphing Linear Equations 3.4 Finding.

EXAMPLE 1 Find a positive slope Let (x 1, y 1 ) = (–4, 2) = (x 2, y 2 ) = (2, 6). m = y 2 – y 1 x 2 – x 1 6 – 2 2 – (–4) = = = Simplify. Substitute.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) Then/Now New Vocabulary Example 1:Identify Linear Functions Example 2:Real-World Example:

Lesson 3-5 Pages Solving Two-Step Equations Lesson Check 3-4.

3.4 SKM & PP 1 Equations of Lines. 3.4 SKM & PP 2 Linear Equations.

Units and Measurements Text Pgs SI – system of units used internationally Base unit – system of measurement based on an object or event in physical.

Celsius and Fahrenheit

Temperature Scales _________ scales are based on the boiling point which is ____ & freezing point of ___. Fahrenheit 212°32° __________________ scales.

Slope Comes from the French verb monter Which means to climb or to rise.

September 17, Objectives Students will be able to: Identify linear equations and functions, Write linear equations in standard form and graph them.

The temperature of the human body would be 37°C °C.

Splash Screen. CCSS Content Standards F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables.

Conversions in the Kitchen Changing between Fahrenheit and Celcius.

Temperature. Temperature is measured using a thermometer. In the United States, we measure temperature in degrees Fahrenheit.

Temperature Feeling hot, hot, hot….. Temperature Temperature – a measurement of how much kinetic energy the particles contain.

〉 What does temperature have to do with energy? 〉 What three temperature scales are commonly used? 〉 What makes things feel hot or cold?

Studying Earth Science

5.3 – Writing Linear Equations Given Two Points  Today we will learn how to: ◦ Write an equation of a line given two points on the line ◦ Use a linear.

3/17/2016 AIM: How is temperature measured? VOCABULARY  Celsius  Thermometer  Fahrenheit  Eye level.

Notes P.4 – Lines in the Plane. I. Slope: Def. – The slope of a nonvertical line through the points (x 1, y 1 ) and (x 2, y 2 ) is If the line is vertical,

What do you notice about this new relation? Solve each equation for the given variable. 1. in terms of b 5. in terms of r 3. in terms of m 2. in terms.

Copyright © Cengage Learning. All rights reserved. Functions 3 The Metric System.

Temperature Water Boil Freeze Celsius 100 o C 0 o C Fahren. 212 o F 32 o F 0 o F Kelvins K K 0 K Not degrees K What 0 o F and 0 K mean Formulas.

Aim: How can we identify linear functions and write linear equations

Notes P.4 – Lines in the Plane

Temperature: Comparing degrees Celsius (C) and degrees Fahrenheit (F)

Any two equations for the same line are equivalent.

Solve a system of linear equation in two variables

What is the equation of this graph? {applet}

The relation between the fuel economy and speed of a given car was recorded. What is the fuel economy at 20mph? Problem of the Day f(20) = 15 c)

Warm – up 8/20/2012 MCC9-12.N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units.

Constant Rate of Change

4-7 Equivalent Formulas Temperature Scales

Graphing Linear Equations

ALGEBRA I - REVIEW FOR TEST 2-1

Presentation transcript:

FINDING THE EQUATION OF A LINE 1.KNOWING A POINT AND THE SLOPE 2.KNOWING TWO POINTS

1. KNOWING A POINT AND THE SLOPE The equation of the line through the point (x 1, y 1 ) with slope m is y = m x + b As y 1 = m x 1 + b we can find the value of b. Example: (x 1, y 1 ) = (2, 3) m = -1 y = - x + b 3 = -2 + b b = 5 Equation: y = - x + 5

2. KNOWING TWO POINTS What is the equation of the line through (x 1, y 1 ) and (x 2, y 2 )? Find m=(y 2 – y 1 )/(x 2 – x 1 ) Do the same as before. Example: Line through (-1, 3) and (1, 6): m = (6 – 3)/(1 – (–1)) = 3/2 y = 1.5 x + b 6 = b; b = 4.5 y = 1.5 x + 4.5

PROBLEM I visited New York last year and the temperature was 95 degrees Fahrenheit. Did I need a T-shirt or a scarf? What was the equivalent temperature in degrees Celsius? The freezing point of water is 32 degrees Fahrenheit (°F) and the boiling point 212 °F (at standard atmospheric pressure).

CLUE 1 What is the freezing point of water in degrees Celsius? What is the boiling point of water in degrees Celsius? Which variable is x and which variable is y?

CLUE 2 x = “degrees Fahrenheit” y = “degrees Celsius” xy ??

CLUE 3 Is the relation between x and y linear? Can you find the equation of the line through (32, 0) and (212, 100)? When you know the equation you can find y = f(95)

EQUATION AND GRAPH

MORE QUESTIONS 1.Can you change the temperature right now to degrees Fahrenheit? 2.Look for the formulas to change temperatures in internet and compare your answers. 3.Who was Fahrenheit and why did he invent this scale of temperature? 4.Are there any other scales of temperature? 5.If the relationship between two variables is not linear, can we use the same method?