Vocabulary
1. all possible x values; input
2. all possible y values, output
1. Domain
2. Range
Slope Intercept Form
y = mx + b
Types of Slope
Negative
Positive
Zero
Undefined
Find Slope given (1,3) & (6,7)
m = 4/5
Each input has only one output
Function
Rate of Change or Slope
m = Rise or Fall / Run
True or False: Y is a function of X
True
Write the equation for a line with a slope of -1 and passes through point (2,-3)
y = -x - 1
Where line crosses y-axis
y-intercept
Slope Formula
m = y2 - y1 / x2 - x1
Ordered pair for starting point if y-intercept is -1
(0,-1)
The graph of equation y=-2x is shifted 3 units down. Write an equation to describe the graph after the shift.
y = -2x -3
Rate of Change
Slope
Standard Form
Ax + By = C
Which situation has a positive rate of change?
A: A city's population is growing by 100 people per month
B: (1,2), (3, -3), (5, -8)
A: A city's population is growing by 100 people per month
Find y-intercept given (2,3) & m= -1
b = 5
A function whose graph is a straight line; represents a gradual rate of change
Linear Relationship or Linear Function
Point Slope Formula
y - y1 = m(x - x1)
A power company charges $0.25 per kilowatt of electricity.
Is the following linear, proportional, or both?
Both- Linear and Proportional
Find y-intercept given the ordered pairs (1,5) & (2,8)
b = 2