1. THERE CAN BE RESTRICTIONS!
Equations as relationships
What if I
don’t want
to use a
graph?
Distance Traveled
Time 55 1
110 2
165 3
220 4
y = 55x
_____________
_____________
Variables
X & y are known as__________________________
and you can solve for each of them!
THERE CAN BE RESTRICTIONS!
In the case of distance and time, all x values must be ____________ than zero.
Write this by saying ______________
For the 2-variable equation y=2x +3, find the y-value for each x value below.
Tell whether each of the following pairs of numbers is a solution to the 2-variable equation y - 4x = 17 5
x = 1 y = _________
x = 0 y = 17
greater 7
x = 2 y = _________
x = 2 y = 9
X>0 1
x = -1 y = _________
x = -4 y = 1
A business that sells tennis rackets makes a $6 profit on every racket sold. Every year it cost the business $43,000 to pay their expenses. Write an equation describing the relationship between the number of rackets they sell and their profits.
Real world application please!

2. Graphing, linear equations, and rate of change
Coordinate pair
(x-coordinate, y-coordinate) is called an ______________
x-axis is the ________________ axis
y-axis is the ________________ axis
horizontal II I
Quadrant ___
x = ________
y = _________
Quadrant ___
x = positive
y = positive
vertical - +
III
origin
Quadrant ___
x = ________
y = _________ - IV
Quadrant ___
x = ________
y = _________ x y -2 4 -1 1 -5 2 -8 - + - m x y -2 4 -1 1 -5 2 -8 AS
goes up 1
Goes down 3
upward slope
So, the slope (m) = -3
downward slope
If you have two pairs
On a graph
(4,8) and (1,2)
change in y
∆ in x
RISE how far the line goes up (y)
RUN how far it goes out (x)
= = ______ 2

3. Parallel Perpendicular
Directly
Proportional
Y=ax
line runs through the __________
x and y values increase or decrease together by the ________ _____________
y=2x
Point-Slope
Form
Y-y0=m(x-x0)
Slope-Intercept
Will work if you have
the ___________ and any _____________
the ___________ and the _______
_______________
Y=mx+b
origin
slope
slope
set of points y-
intercept
same percentage
Parallel Perpendicular
y=2x+3
y=2x+1
y=3x+2
y= x
Make sure both equations are in slope-intercept form.
Compare slopes
Slopes are equal!!
Make sure both equations are in slope-intercept form.
Compare slopes
Slopes are negative reciprocals!!

5. Work for the week of January 10-17th
Lesson 65 due Thursday,
Lesson 69 due Friday,
Lesson 70 due Tuesday
Worksheets due next week in class:
Parallel and Perpendicular Lines (front and back)
Graphing a Line
MCQ