Lesson 3.6 - Introduction to Slopes (Part 1)

Lesson 3.6 - Introduction to Slopes

F.IF.6, S.ID.7

What is Slope?

• A slope is a ratio of the vertical change to the horizontal change.

• We measure the slope by the steepness of a line.

• In a linear relationship, it is referred to as the constant rate of change.

Multiple Choice

Slope describes the ___________ of the line?

• Color

• Size

• Length

• Steepness

Multiple Choice

What type of slope?

• undefined

• positive slope

• negative slope

• zero slope

Describe the slope.

Does Nate Robinson have a positive, negative, zero or undefined slope?

Rise over Run  $\frac{\Delta y}{\Delta x}$  

• To determine the rate of change on a graph, we must calculate the distance b/w two points!

• Move up or down to calculate the rise $\left(\Delta y\right)$ 

• Next, move left or right to calculate the run $\left(\Delta x\right)$  

• Lastly, simplify your fraction for the rate of change.

Find the slope of the line using rise over run.

Is the slope positive or negative?

Multiple Choice

Find the slope

• 4/5

• 5/4

• -5/4

• -4/5

Multiple Choice

Describe the movement of the slope

• down 1, down 2

• up 1, right 2

• right 1, up 2

• right 1, down 2

Slope Formula

• We can easily find the rate of change (slope) but using the formula.

Fill in the Blank

Calculate the slope of the line that passes through two points. (Write as a fraction in simplest form)

Multiple Choice

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Find the slope.

• ²/₅

• ^-2/₅

• ⁵/₂

• ^-5/₂