Key Concept
How can you determine whether a relationship is linear from a graph, a table or an equation
Compare your methods for finding the SLOPE of a line from a graph, a table, and an equation
Key Concept for Section 6
Key concept for Section 9
100

Has a constant rate of change and forms a straight line

What is a Linear Relationship

100

Straight line

What is a Graph

100

Rise/Run or Rise divided by Run

What is a Graph

100

The equation for all linear relationships is ______

What is Y=mx+b

100

What does a non-linear relationship look like from a Table?

It has no constant rate of change in y divided by change in x is not equal

200

Is linear and it goes through the origin (0,0)

What is a Proportional Relationship

200

Check all of the points to be sure change in y divided by change in x is constant

What is a Table

200

Change in y/Change in x or Change in y divided by Change in x

What is a Table

200

What does the "m" represent in the equation

What is the Slope

200

What does a non-linear relationship look like from a graph?

Does NOT form a straight line

300

Any linear function can be expressed by an equation in the form of ________

What is Y=mx+b

300

Y=mx+b form

What is an equation

300

Y=mx+b

M= Slope

B=Y=Intercept

What is an Equation

300

What is the meaning of the term "Slope"

What is the steepness of the line or the direction of the line

300

What does a non-linear relationship look like in an equation?

Cannot be written in an mx+b form. The exponent with the variables is not equal to one.

400

The value of "m" also tells the steepness and direction (upward or downward) of the graph of the function

What is a Slope

400

Y=3/5x+0


What is the Y-Intercept (0) and the Slope (3/5)

400

Y=2x+9

What is the Y-Intercept (+9) and the Slope (2x)

400

This number is also called the ____________

Coefficient in front of the variable x

400

What is the Y-Intercept of the equation

Y=10x-15

What is -15

500

The "b" tells the point at which the graph of the function crosses the y-axis. That point has coordinates (0,b) and is called the ___________

What is a Y-Intercept

500

Y=4x+4

What is the Y-Intercept (+4) and the Slope (4x)

500

Y=-3x-5

What is the Y-Intercept (-5) and the Slope (-3x)

500

What does the b stand for in the equation and what the terms means

What is the Y-Intercept and it is found on the Y-Axis

500

What is the slope of the equation:

Y=10x-15

What is -10x