Slope Review

Applying Linear

Functions

Maneuvering the Middle

Linear Functions Review

● The graph is a straight line
● The variable is to the first power (No x2, x3, 1/x,

etc.)

● One – and only one – output for each input
● Constant rate of change. (Fun fact: The constant rate of change is called SLOPE!)

Multiple Choice

Which of the following is NOT TRUE about linear functions.

• The graphs are straight lines

• They don't have a constant rate of change

• The formula is y=mx+b

• For every input, there is only one output.

Multiple Choice

Which of the following is not an equation in slope-intercept form?

• y = 1/x

• 3y = 6x + 1
• y + 2 = 5
• y = 2x + 3x

Multiple Choice

Linear functions have a constant rate of change.

• True
• False

Multiple Choice

Is the graph pictured a linear or nonlinear function?

• Linear
• Nonlinear

Multiple Choice

Is the function Linear or Nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is the function linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is the function linear or nonlinear?

• Linear
• Nonlinear

Constant Rate of Change

● X and Y are changing

at a constant rate

● What is the constant

rate of change? Slope!

● The x (input) changes

by 1 and the Y
(output) changes by 3.

Multiple Choice

Another name for constant rate of change in a linear equation is ...

• Slope

• Intercept

• Ratio

• Sum

Multiple Choice

Is this function linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Identify the table that represents a linear function.

• Table 1
• Table 2
• Table 3
• Table 4

What is Slope?

● Rise over Run
● Change in Y

over the change
in X

Y2-Y1
X2-X1

Multiple Choice

What type of slope is represented in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What type of slope is this?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the slope of the line?

• Positive

• Negative

• Zero

• Undefined

SLOPE WITH TWO POINTS

Find the slope of these two points:

(3, 1) (9, 13)

X1 Y1 X2 Y2

y2 - Y1

X2 - X1

Slope =

13 - 1

9 - 3

Slope =

12

6

Slope =

= 2

Use these numbers

Use this formula

Multiple Choice

Find the slope given these points:

(-5,3) & (3,5)

• 1/4

• 4

• 1

• -1

Multiple Choice

Find the slope given these points:

(0,5) & (6,2)

• -1/2

• -2

• -1/3

• 1/2

Multiple Choice

Find the slope given these points:

(4,-4) & (2,0)

• -2

• 2

• 1/2

• -1/2

Multiple Choice

What is the slope formula?

Multiple Choice

Which is the correct setup to find the slope of a line that goes through the points (4,-7) and (6,-2)

• $$\frac{-2+7}{6-4}$$  

• $$\frac{-2-7}{6-4}$$  

• $$\frac{-7-2}{4-6}$$  

• $$\frac{-2-4}{6+7}$$  

Multiple Choice

Find the slope of the line that passes through:

(5, -10) and (5, -4)

• undefined

• 0

• $$-\frac{10}{14}$$

  
  

• $$\frac{10}{14}$$