Proportional Graphs and Slope

​Proportional Graphs and Slope

​LET'S REVIEW

Slope is the STEEPNESS of a line.

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It helps us make predictions and understand proportional relationships.​

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​What is slope?

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Identifying Slope of a Line

• Slope can tell us the direction of the line!

• Refresh yourself of the 4 types of slope using the picture to the right:

Multiple Choice

What type of slope?

• zero slope
• undefined
• negative
• positive

Multiple Choice

What type of slope?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{1}{2}$$  

• $$\frac{2}{1}$$  

• 2

• 1

​Proportional Graphs

• They are in the shape of a straight line.

• They start or cross at the point of origin.

​Constant of Proportionality Equation

(Also known as UNIT RATE)​

​​y = k x

where "k" is the constant of proportionality​

​y = 3x

​3 is the C.O.P.

Multiple Choice

Is the graph proportional or non-proportional?

• Proportional
• Non-Proportional

Multiple Choice

Is the graph proportional or non proportional?

• proportional
• non proportional

Multiple Choice

What is the formula for a proportional relationship?

• y=kx
• z=ykx
• y=ky

Independent Work:

• Graph Proportional Relationships

• Interpret Graphs from Proportional Relationships

• Proportional Relationships: complete the table and Graph

​Some text here about the topic of discussion.

Independent Work