Key Concept
Has a constant rate of change and forms a straight line
What is a Linear Relationship
Straight line
What is a Graph
Rise/Run or Rise divided by Run
What is a Graph
The equation for all linear relationships is ______
What is Y=mx+b
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
Is linear and it goes through the origin (0,0)
What is a Proportional Relationship
Check all of the points to be sure change in y divided by change in x is constant
What is a Table
Change in y/Change in x or Change in y divided by Change in x
What is a Table
What does the "m" represent in the equation
What is the Slope
What does a non-linear relationship look like from a graph?
Does NOT form a straight line
Any linear function can be expressed by an equation in the form of ________
What is Y=mx+b
Y=mx+b form
What is an equation
Y=mx+b
M= Slope
B=Y=Intercept
What is an Equation
What is the meaning of the term "Slope"
What is the steepness of the line or the direction of the line
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.
The value of "m" also tells the steepness and direction (upward or downward) of the graph of the function
What is a Slope
Y=3/5x+0
What is the Y-Intercept (0) and the Slope (3/5)
Y=2x+9
What is the Y-Intercept (+9) and the Slope (2x)
This number is also called the ____________
Coefficient in front of the variable x
What is the Y-Intercept of the equation
Y=10x-15
What is -15
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
Y=4x+4
What is the Y-Intercept (+4) and the Slope (4x)
Y=-3x-5
What is the Y-Intercept (-5) and the Slope (-3x)
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
What is the slope of the equation:
Y=10x-15
What is -10x