slope

How can we find the slope of a given line segment

Open Ended

From what you think or know, what is a slope?

Slope can be expressed in different ways:

 $m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}\ =\ \frac{Rise}{Run\ }\ =\ \frac{Vertical\ change}{Horizontal\ change}$  

Positive slope

- A line has a positive slope if it is going uphill from left to right

Negative slope

- A line has a negative slope if it is going downhill from left to right

Poll

What do you think is the slope of a Horizontal Line?

• 0

• Undefined

• 1

• -1

What is the slope of a horizontal line?

 A line with a horizontal line does not rise!

 $m$  =  $\frac{0}{number}$  =  $0$  

All Horizontal lines have a slope of  $0$  

Poll

What do you think is the slope of a Vertical Line?

• 0

• Undefined

• 1

• -1

What is the slope of a vertical line?

A slope with a vertical line does not run!
 $m=\frac{number}{0}=Undefined$  

All vertical lines have an undefined slope

Fill in the Blanks

What is the slope of a line between (-4,14) and (-16,8)?
Reminder! 

Formula:

 $m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$  

What is the slope of a line between (-4,14) and (-16,8)?

 $m=\frac{y_2-y_1}{x_2-x_1}$  

 $m=\frac{\left(8-\left(14\right)\right)}{-16-\left(-4\right)}=\frac{\left(-6\right)}{\left(-12\right)}$  

Simplify this and we get  $\frac{1}{2}$  

Quiz time!

Thank You:)