Coordinate Plane
What is the coordinate pair (0,0) also known as?
the origin
Write this equation:
A number is five less than twice another number.
y=2x-5
Using these two coordinate points, find the slope.
(-2,-1) and (3,1)
m=2/5
The change in temperate from 4pm to 6am is represented by the equation
t=-2h+90
What is the rate of change in this situation?
-2
Does this table represent a proportional relationship? If yes, list the constant of proportionality.
x y
1 2
2 3
3 4
4 5
No
In which quadrant are both x and y positive?
Quadrant I
Write this equation in verbal form.
y=-1/3x
EX
A number is negative one third of another number.
Given the slope and y-intercept, write the equation in slope-intercept form.
slope = -1
y-intercept = 3
y=-x+3
Domino's Pizza is currently having a special for delivery orders. Pizzas are $8 each and the delivery charge is $2.75.
Write an equation to represent the total cost, y, for a delivery of x pizzas.
y=8x+2.75
Does this table represent a proportional relationship? If yes, list the constant of proportionality.
x y
0 0
4 0.5
8 1
12 1.5
yes, k=1/8
In which quadrant are both x and y negative?
Quadrant III
Graph this relation:
{(-4,0) , (-2,1) , (0,2) , (6,4)}
will be checked
Given the slope and y-intercept, write the equation in slope-intercept form.
slope = -4/3
y-intercept = -5
y=-4/3x-5
The cost to have a SuperBowl party is represented by the equation
c=25x+4.50
What is the initial value in the equation?
4.50
The table below represents a proportional relationship. Identify the constant of proportionality ,k, and write an equation.
Pictures Album Pages
40 10
60 15
80 20
100 25
k=1/4
y=1/4x
In which quadrant x is positive and y is negative?
Quadrant IV
Graph this relation:
{(-1,4) , (0,3) , (5,2) , (2,-1)}
will be checked
Graph the equation
y=3x-4
answer will be checked
Nicole's family went bowling. They had to pay a $15 fee for the lane and an additional $6 per person.
1. What is the rate of change?
2. What is the initial value?
3. Write an equation to represent the total cost.
1. $6
2. $15
3. y=6x+15
The table below represents a proportional relationship. Identify the constant of proportionality ,k, and write an equation.
Teachers Students
4 100
8 200
12 300
20 500
k=25
y=25x
In which quadrant is x negative but y is positive?
Quadrant II
Complete this function table
y=-4x-3
x y (x,y)
-2
0
2
4
y (x,y)
5 (-2,5)
-3 (0,-3)
-11 (2,-11)
-19 (4,-19)
Graph the equation
y=-3/5x
answer will be checked
Morgan is paying her cellphone bill. She is charged a monthly fee of $45 and an additional $0.25 per text. Write and solve a linear equation to determine how many texts she sent if she had a total bill of $181.
181=0.25x+45
x=544 texts
The points (4,6) , (12,8) and (16,24) represent the same proportional relationship. Which point does NOT represent this relationship?
A. (3,2)
B. (8,12)
C. (10,15)
D. (9, 13.5)
(3,2)
k=2/3