2.3 Visualizing Data

Graphic Relationships

Equation Type of Relationship

Shape of Graph

Equation Type of Relationship

Shape of Graph

y=mx + b

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

y=ax2 + bx + c

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

y=ax2 + bx + c

quadratic

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

y=ax2 + bx + c

quadratic parabola

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

y=ax2 + bx + c

quadratic parabola

y=a/x or xy=a

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

y=ax2 + bx + c

quadratic parabola

y=a/x or xy=a

Inverse

Equation Type of Relationship

Shape of Graph

y=mx + b Linear (direct)

line

y=ax2 + bx + c

quadratic parabola

y=a/x or xy=a

Inverse hyperbola

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5

L = 4/m +7

y = 5x2 + 6x – 1

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

L = 4/m +7

y = 5x2 + 6x – 1

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7

y = 5x2 + 6x – 1

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7 inverse

y = 5x2 + 6x – 1

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7 inverse hyperbola

y = 5x2 + 6x – 1

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7 inverse hyperbola

y = 5x2 + 6x – 1

quadratic

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7 inverse hyperbola

y = 5x2 + 6x – 1

quadratic parabola

P = 1/ T

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7 inverse hyperbola

y = 5x2 + 6x – 1

quadratic parabola

P = 1/ T inverse

What type of relationship and graph would be represented between the variables in each of the following examples?Equation Relationship Graph Shape

K=8c + 5 Linear (direct)

line

L = 4/m +7 inverse hyperbola

y = 5x2 + 6x – 1

quadratic parabola

P = 1/ T inverse hyperbola