proportional relationships and slope n.
Skip this Video
Download Presentation
Proportional Relationships and Slope

Loading in 2 Seconds...

play fullscreen
1 / 8

Proportional Relationships and Slope - PowerPoint PPT Presentation

  • Uploaded on

Proportional Relationships and Slope. Proportional Relationships. A proportional relationship between two quantities is one in which the two quantities vary directly with one another.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

PowerPoint Slideshow about 'Proportional Relationships and Slope' - shubha

Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
proportional relationships
Proportional Relationships

A proportional relationship between two quantities is one in which the two quantities vary directly with one another.

Example: If one item is doubled, the other, related item is also doubled. The equations of direct variation relationships are always in the form y=mx.

slope and proportional relationships
Slope and Proportional Relationships

On the previous slide, the equation y=mx referred to a direct variation equation.

In this equation, m is the slope of the line and it is also called the unit rate, the rate of change, or the constant of proportionality of the function.

  • Gasoline cost $4.24 per gallon.
    • Create a table to represent the two quantities, gallons of gas and price.
    • Graph the quantities from the chart.
    • Create the equation given the chart and the graph.

2. Five Gala apples cost $2.00

1. Create a table relating the number of apples to their cost.

2. Graph the information from the table.

3. Create the equation using the table and the graph.


3. Tess riders her bike at 12 mph.

1. Create a table relating number of hours riding and distance travelled.

2. Create a graph using the table.

3. Create an equation using the graph and the table.

what is slope
What is slope?

Slope describes the steepness of a line.

It is also referred to as the rate of change or the unit rate.

Can also be referred to as rise over run when looking at a graph.

the 4 types of slope
The 4 types of Slope

Zero Slope – A horizontal line has a slope of zero

Undefined Slope – A vertical line has an undefined slope

Negative Slope – A line that falls from left to right has a negative slope

Positive Slope – A line that rises from left to right has a positive slope