Slope, baby, slope

By Hannah Grady

Learning Targets​

​Slope

​I can understand​ the connections between proportional relationships, lines, and linear equations. ​

​

** Are linear lines always proportional?

**Are proportional lines always linear?​

Expectations

• ​Be respectful!

• Work quietly.

• Raise your hand to speak.

• Your screen will only be on this Quizizz!​

• Have fun!​

​Constant Rate of change and Steepnness of a line

​​Rate of change=y/x ​

​

The graph shows a change of $94 every 2 weeks, therefore the constant slope is $47 per week.​

Equations and slope of a line

​Slope-intercept form

​Slope=m

​The slope (m) of the line is the number multiplied by x to show the constant rate of change. ​

m=1/2

​How could we put this in Slope-Intercept form?

​An equation is written in slope-intercept​ form when it is solved for "y". ​

​y=mx+b

y=97x+144

​Equations and graph of a line

​To write an equation for a line, choose two points and find the slope. Then find the y-intercept. Replace these numbers in slope-intercept form. ​

Slope= Vertical change​

Horizontal change​

What is the slope?

What is the y-intercept?

What is the equation of this line?​

​What is the slope?

What is the y-intercept?

What is the equation of this line?​

Gallery Walk

• ​Each group will be sent to a paper hanging on the wall.

• We will be moving clockwise around the room​ to each paper.

• Be sure not to skip one!

• Use the back of your notes.

• When you get to question #6, use the graph paper!​

​expectations

Subject | Subject

Some text here about the topic of discussion

• ​​We will work quietly (at a whisper) with our groups.

• We will walk from paper to paper.

• We will keep all body parts to ourselves.

• Only write on the paper given to you.

• Leave the papers on the walls. ​