Slope

Slope

"Steepness" of a line

Constant rate of change

Rise over Run

Slope from a graph

From Left to Right

Positive - Going up

Negative - Going down

Undefined - Vertical line

Zero - Horizontal Line

Multiple Choice

What type of slope?

• Zero

• Undefined

• Positive

• Negative

Multiple Choice

What type of slope?

• Zero

• Undefined

• Positive

• Negative

Multiple Choice

What type of slope?

• Zero

• Undefined

• Positive

• Negative

Multiple Choice

What type of slope?

• Zero

• Undefined

• Positive

• Negative

Finding the slope from a graph

• Count up or down from one point to the other point(change in y)

• Count left or right to the other (change in x)

• Note: Up is positive and down is negative

• Note: To the right is positive and to the left is negative

Multiple Choice

Find the Slope

• $\frac{1}{3}$

• $-\frac{1}{3}$

• 3

• -3

Multiple Choice

Find the Slope

•  $\frac{3}{2}$ 

•  $-\frac{3}{2}$ 

•  $\frac{2}{3}$  
  

•  $-\frac{2}{3}$  
  

Finding slope from two points

Identify (x1 ,y1) and (x2,y2)
Use slope formula

 $m=\frac{y_2-y_1}{x_2\ -\ x_1}$  

Multiple Choice

Find the slope using two points:

 $\left(3,4\right)\ and\ \ \left(1,8\right)$  

•  $\frac{1}{2}$  

•  $2$  

•  $-2$  

•  $-\frac{1}{2}$  

Multiple Choice

Find the slope using two points:

 $\left(3,4\right)\ and\ \ \left(-1,-8\right)$  

•  $\frac{1}{3}$  

•  $3$  

•  $-3$  

•  $-\frac{1}{3}$  

Multiple Choice

What is the formula used to find the slope using two points?

• $y\ =\ mx\ +\ b$

• $Ax\ +\ By\ =\ C$

• $m\ =\ \frac{y_2-y_1}{x_{2\ }-x_1}$

• $m\ =\ \frac{rise}{run}$ none

Multiple Choice

What is the formula used to find the slope using the graph?

• $y\ =\ mx\ +\ b$

• $Ax\ +\ By\ =\ C$

• $m\ =\ \frac{y_2-y_1}{x_{2\ }-x_1}$

• $m\ =\ \frac{rise}{run}$

Finding slope from an equation

• Slope-intercept form (y = mx + b)

• Standard form (Ax + By = C)

Slope-intercept form  $y\ =\ mx\ +\ b$  

m = slope; b = y-intercept (location where the line crosses the y-axis)
 $y\ =\ 2x\ +\ 3$  

slope(m) =  $2\ or\ \frac{2}{1}$        y-int, b =  $+3$ 

 $y\ =\ -\frac{5}{3}x\ -9$  
slope(m) =  $-\frac{5}{3}$        y-int,b =  $-9$  

Standard form  $Ax\ +\ By\ =\ C$  

m =  $\frac{-A}{B}$  b =   $\frac{C}{B}$  
 $2x\ +\ 3y\ =\ 9$  

A = 2 B=3 and C=9

slope(m) =  $m\ =\ -\frac{A}{B}=\frac{-2}{3}$        

y-int, b =  $b\ =\ \frac{C}{B}=+\frac{9}{3}$ 

Multiple Choice

Find slope of the equation

 $y\ =\ -8x\ +\ 5$  

•  $-\frac{8}{5}$  

•  $\frac{5}{8}$  

•  $8$  

•  $-8$  

Multiple Choice

Find slope of the equation

 $y\ =\ \frac{3}{4}x\ -\ 9$  

•  $-\frac{4}{3}$  

•  $\frac{3}{4}$  

•  $\frac{-3}{4}$  

•  $\frac{4}{3}$  

Multiple Choice

Find slope of the equation

 $5x\ -\ 3y\ =\ -9$  

•  $-\frac{5}{3}$  

•  $\frac{3}{5}$  

•  $\frac{-3}{5}$  

•  $\frac{5}{3}$  

Multiple Choice

Find slope of the equation

 $7x\ +y\ =\ +3$  

•  $-\frac{7}{1}=\ -7$  

•  $\frac{7}{1}=7$  

•  $\frac{-1}{7}$  

•  $\frac{1}{7}$  

Find Slope from table

• Find the change in the y-values by subtracting from one row to the next.

• Find the change in the x-values by subtracting from one row to the next.

• Divide the difference in the y-values by the difference in the x-values.

Multiple Choice

Find slope from a table

• $\frac{1}{4}$

• $4$

• $-\frac{1}{4}$

• $-4$

Multiple Choice

Find slope from a table

•  $\frac{2}{5}$ 

•  $\frac{5}{2}$ 

•  $-\frac{2}{5}$ 

•  $-\frac{5}{2}$ 

Poll

How did you study to understand slopes?

• Teacher given worksheets

• Khan Academy

• CK-12

• Canvas

• Internet

Poll

Do you think you need tutoring to find the slope?

• Yes

• No

Poll

Would you like to use QUIZIZ again?

• Yes

• No

Open Ended

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