Solving Linear Equations
Intercepts
Surprise!
Slope 1
Slope 2
100
Is ( - 4 , 2 ) a point on the line of -2x + 4y = 0
NO!
100
Where does the line 4x + 5y = 20 cross the x and y axis?
x int: ( 5 , 0 )
y int: ( 0 , 4 )
100
Are you supposed to dress up/nicely for Thanksgiving?
NO!
100
Identify the slope:
y = 4x +5
m = 4
100
Find the slope:
m = - 2
200
Identify 3 solutions to the equation & graph:
y = -3x+2
( -2 , 8 )
( -1 , 5 )
( 0 , 2 )
( 1 , - 1 )
( 2 , - 4 )
200
What are the x and y intercepts of the line:
-3x + 5y = 15
x int: ( -5 , 0 )
y int: ( 0 , 3 )
200
If you get a Christmas tree... team real or fake tree?
REAL!
200
What's the slope?
m =
1/3
200
What's the slope?
y = 9 - x
m = -1
300
Identify 3 solutions to the equation & graph:
y = 5 - x
( - 2 , 7 )
( - 1 , 6 )
( 0 , 5 )
( 1 , 4 )
( 2 , 3 )
300
Where are the intercepts of the following line?
x int ( 3 , 0 )
y int ( 0 , - 4 )
300
Ohio State OR M*ch*g*n?
OHIO STATE!
300
Determine the slope:
m =
-1/2
300
Determine the rate of change from the table:
$3.75 per gallon
400
Identify 2 solutions to the equation & graph:
6x + 3y = 12
( - 2 , 8 )
(- 1 , 6 )
( 0 , 4 )
( 1 , 2 )
( 2 , 0 )
400
Identify the zeroes from the table and interpret what they mean:
x int (0 adult tix, 140 student tix)
y int (70 adult tix, 0 student tix)
400
What city is home to the oldest Thanksgiving Day Parade?
Philadelphia
400
What's the slope?
3x + 8y = -24
m =
-3/8
400
Find the slope:
-56 = -7x + 8y
m =
7/8
500
Identify 3 solutions to the equation & graph:
y = 1/2x-3
( - 4, - 5 )
( - 2 , - 4 )
( 0 , - 3 )
( 2 , - 2 )
( 4 , - 1 )
500
Sylas has $300 to spend on holiday gifts. He plans to buy $15 Dunkin' gift cards and $10 McDonald's gift cards. What's the maximum and minimum number of gift cards he can buy of each type?
x int ( 20 dunkin gc, 0 mcdonalds gc )
y int ( 0 dunkin gc , 30 mcdonalds gc )
500
What pro football team has played every Thanksgiving Day since 1934?
Detroit Lions
500
What is cost increase per year for a movie ticket?
In 2006 a movie ticket cost $6.04 and in 2022 a movie ticket costs $15.50.
$0.59 per year
500
What's the slope?
y = 5
m = zero