Slopes

Slope

Rate of Change

Rise over Run

Slope from a graph

Positive: going up the hill, incline

Negative: going down the hill, decline

Undefined: vertical line (up and down)

Zero: horizontal line (side to side)

Multiple Choice

What type of slope?

• zero slope
• undefined
• negative
• positive

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Multiple Choice

What is the slope in the picture?

• Positive
• Negative
• Zero
• Undefined

Finding the slope

• Count up or down from one point to the other

• Count left or right from one point to the other

• Down is negative movement, Up is positive movement

• Left is negative movement, Right is positive movement

• Your answer is a simplified fraction

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Find the slope of the line.

• -5/4
• 5/4
• -4/5
• 4/5

Multiple Choice

What is the slope formula?

Calculating Slope

• Given two points

• y coordinates are on top, x coordinates on bottom

   $\frac{Rise}{Run}$  

• Take y over x and subtract the other y over x

• Be consistent! The same coordinate needs to be first on the top and bottom

Multiple Select

What are the two coordinates used in this formula to calculate the slope?

• (5, -3)

• (-3, 3)

• (5, 2)

• (2, 3)

Multiple Choice

• $$\frac{0}{3}=0$$

• 
  

  $$\frac{-6}{3}=-2$$

• $$\frac{-6}{7}$$
  

• $$\frac{6}{3}=2$$

Multiple Select

What are the two coordinates used in this formula to calculate the slope?

• (5, 5)

• (-3, 3)

• (5, 3)

• (-7, 5)

Multiple Choice

• $$\frac{2}{12}=\frac{1}{6}$$

• $$\frac{2}{2}=1$$
  

• $$\frac{-2}{12}=\frac{-1}{6}$$
  

• $$\frac{-2}{2}=-1$$
  

Multiple Choice

Find the slope given the points (-2,-9) and (-1,-3).

• 4

• $$-\frac{1}{6}$$

• -6

• 6

Multiple Choice

Find the slope given the points (-5,-3) and (2,4).

• 
  

  $$\frac{5}{4}$$
  

• $$\frac{1}{7}$$
  

• -1

• 1