Subjects

Arithmetic

Proportions

Graphs of Proportional Relationships

Learn How to Find and Graph the Slope Between Two Points

Name: Knowunity
Brand: Knowunity

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Learn How to Find and Graph the Slope Between Two Points

Shaivi Ramisetti

@shaivi711

74 Followers

A comprehensive guide to understanding slope and rate of change in mathematics, focusing on calculating slope between two points on a line and graphing and interpreting slope from data.

Introduces the fundamental concept of slope as the rate of change between two points on a line
Demonstrates practical applications through real-world examples including thunder and lightning, plant growth, and financial scenarios
Explores multiple methods for calculating slope, including graphical counting and the slope formula
Emphasizes the importance of understanding slope as rate of change in word problems
Provides step-by-step guidance for graphing data and interpreting slope in context

5/8/2023

178

Slope
Slope the rate of change between any 2 points on a line
(the steepness of a line)
y
-8-
-7-
-6-
87654321
·3+∞-
-2
-1-
asu
slope
Slope

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Practical Application: Thunder and Lightning

This section demonstrates how to graph data and calculate slope using a real-world example involving thunder and lightning distance calculations.

Example: A table showing the relationship between seconds to hear thunder and miles from a lightning strike is used to illustrate slope calculation.

Highlight: The graphing process involves plotting ordered pairs and drawing a right triangle to determine rise and run.

Definition: The slope is calculated by counting the vertical and horizontal changes on the graph, represented as a fraction of rise over run.

View

Slope Formula Application

This page introduces the formal slope formula method for calculating rate of change.

Definition: The slope formula is expressed as (change in y)/(change in x) or (y₂-y₁)/(x₂-x₁)

Example: Using the points (3, 15) and (5, 25) to calculate slope in the thunder/lightning scenario.

Highlight: The calculated slope of 5 represents that for every 5 seconds between lightning and thunder, there is 1 mile distance.

View

Plant Growth Analysis

This section applies slope concepts to analyze plant growth over time.

Example: A science fair project tracking plant height over weeks demonstrates practical slope calculation.

Highlight: The slope calculation shows that the plant grows 1.5 cm each week, or alternatively, 3 cm every 2 weeks.

View

Fruit Snacks Distribution

This page demonstrates slope calculation in a packaging context.

Example: Analysis of fruit snack packs per box shows how slope represents a packaging ratio.

Highlight: The calculated slope of 4 indicates that there are 4 packs for each box.

View

Financial Application: Savings Account

This section applies slope concepts to financial scenarios.

Example: Renaldo's savings account with weekly $300 deposits illustrates constant rate of change.

Highlight: The slope of 300 represents the weekly increase in account balance.

View

Cell Phone Account Analysis

This final section demonstrates slope application in a practical financial scenario.

Example: Jessica's cell phone account balance increases by $10 weekly from an initial $45.

Highlight: The slope of 10 represents the consistent weekly increase in account balance.

View

Introduction to Slope

This page introduces the fundamental concept of slope in mathematics. The content focuses on understanding slope as a measure of steepness and rate of change between points on a line.

Definition: Slope is the rate of change between any two points on a line, representing the steepness of that line.

Vocabulary:

Rise: The vertical change between two points
Run: The horizontal change between two points

Highlight: Slope can be visualized and calculated using the relationship between vertical change (rise) and horizontal change (run).

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Arithmetic

Proportions

Graphs of Proportional Relationships

Learn How to Find and Graph the Slope Between Two Points

Shaivi Ramisetti

@shaivi711

74 Followers

A comprehensive guide to understanding slope and rate of change in mathematics, focusing on calculating slope between two points on a line and graphing and interpreting slope from data.

Introduces the fundamental concept of slope as the rate of change between two points on a line
Demonstrates practical applications through real-world examples including thunder and lightning, plant growth, and financial scenarios
Explores multiple methods for calculating slope, including graphical counting and the slope formula
Emphasizes the importance of understanding slope as rate of change in word problems
Provides step-by-step guidance for graphing data and interpreting slope in context

5/8/2023

178

7th

Arithmetic

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Practical Application: Thunder and Lightning

This section demonstrates how to graph data and calculate slope using a real-world example involving thunder and lightning distance calculations.

Example: A table showing the relationship between seconds to hear thunder and miles from a lightning strike is used to illustrate slope calculation.

Highlight: The graphing process involves plotting ordered pairs and drawing a right triangle to determine rise and run.

Definition: The slope is calculated by counting the vertical and horizontal changes on the graph, represented as a fraction of rise over run.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Slope Formula Application

This page introduces the formal slope formula method for calculating rate of change.

Definition: The slope formula is expressed as (change in y)/(change in x) or (y₂-y₁)/(x₂-x₁)

Example: Using the points (3, 15) and (5, 25) to calculate slope in the thunder/lightning scenario.

Highlight: The calculated slope of 5 represents that for every 5 seconds between lightning and thunder, there is 1 mile distance.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Plant Growth Analysis

This section applies slope concepts to analyze plant growth over time.

Example: A science fair project tracking plant height over weeks demonstrates practical slope calculation.

Highlight: The slope calculation shows that the plant grows 1.5 cm each week, or alternatively, 3 cm every 2 weeks.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Fruit Snacks Distribution

This page demonstrates slope calculation in a packaging context.

Example: Analysis of fruit snack packs per box shows how slope represents a packaging ratio.

Highlight: The calculated slope of 4 indicates that there are 4 packs for each box.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Financial Application: Savings Account

This section applies slope concepts to financial scenarios.

Example: Renaldo's savings account with weekly $300 deposits illustrates constant rate of change.

Highlight: The slope of 300 represents the weekly increase in account balance.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Cell Phone Account Analysis

This final section demonstrates slope application in a practical financial scenario.

Example: Jessica's cell phone account balance increases by $10 weekly from an initial $45.

Highlight: The slope of 10 represents the consistent weekly increase in account balance.

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Introduction to Slope

This page introduces the fundamental concept of slope in mathematics. The content focuses on understanding slope as a measure of steepness and rate of change between points on a line.

Definition: Slope is the rate of change between any two points on a line, representing the steepness of that line.

Vocabulary:

Rise: The vertical change between two points
Run: The horizontal change between two points

Highlight: Slope can be visualized and calculated using the relationship between vertical change (rise) and horizontal change (run).

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User